Q. If a square has an area of 49 square meters, what is the perimeter of the square?
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Solution
Side = √49 = 7 meters; Perimeter = 4 × side = 4 × 7 = 28 meters.
Correct Answer:
A
— 28
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Q. If the area of a circle is 50.24 square meters, what is the radius of the circle? (Use π = 3.14)
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Solution
Area = π × radius², so radius² = Area / π = 50.24 / 3.14 = 16, thus radius = √16 = 4 meters.
Correct Answer:
B
— 5
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Q. If the area of a rectangle is 120 square meters and its length is 15 meters, what is the width of the rectangle in meters?
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Solution
Area = length × width; 120 = 15 × width; width = 120 / 15 = 8 meters.
Correct Answer:
B
— 10
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Q. If the area of a rectangle is 120 square meters and the length is 10 meters, what is the width?
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Solution
Area = length × width, so width = Area / length = 120 / 10 = 12 meters.
Correct Answer:
A
— 12
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Q. If the area of a square is 64 square meters, what is the length of one side of the square in meters?
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Solution
Area = side²; 64 = side²; side = √64 = 8 meters.
Correct Answer:
C
— 8
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Q. If the area of a square is 64 square meters, what is the length of one side of the square?
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Solution
Area = side², so side = √64 = 8 meters.
Correct Answer:
B
— 8
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Q. If the area of a square is 81 square meters, what is the length of one side of the square in meters?
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Solution
Area = side², so side = √81 = 9 meters.
Correct Answer:
C
— 9
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Q. If the area of a triangle is 60 square meters and the base is 12 meters, what is the height of the triangle?
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Solution
Area = (1/2) × base × height; 60 = (1/2) × 12 × height; height = (60 × 2) / 12 = 10 meters.
Correct Answer:
A
— 10
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Q. If the area of a triangle is 60 square meters and the base is 12 meters, what is the height of the triangle in meters?
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Solution
Area = (1/2) × base × height; 60 = (1/2) × 12 × height; height = (60 × 2) / 12 = 10 meters.
Correct Answer:
B
— 10
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Q. If the length of a rectangle is doubled and the width is halved, how does the area change?
A.
Remains the same
B.
Doubles
C.
Halves
D.
Quadruples
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Solution
New area = (2 × length) × (width/2) = length × width = original area. Area doubles.
Correct Answer:
B
— Doubles
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Q. If the radius of a circle is 7 cm, what is its area? (Use π = 22/7)
A.
154 cm²
B.
44 cm²
C.
77 cm²
D.
88 cm²
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Solution
Area = π × radius² = (22/7) × (7 cm)² = 154 cm².
Correct Answer:
A
— 154 cm²
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Q. The area of a circle is 78.5 square meters. What is the radius of the circle? (Use π = 3.14)
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Solution
Area = π × radius²; 78.5 = 3.14 × radius²; radius² = 78.5 / 3.14 = 25; radius = √25 = 5 meters.
Correct Answer:
B
— 6
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Q. The area of a rectangle is 120 square meters. If the length is 15 meters, what is the width?
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Solution
Area = length × width; 120 = 15 × width; width = 120 / 15 = 8 meters.
Correct Answer:
A
— 8
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Q. The area of a rectangle is 120 square meters. If the length is twice the width, what is the width of the rectangle in meters?
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Solution
Let width = x; length = 2x; Area = length × width = 2x × x = 120; 2x² = 120; x² = 60; x = √60 ≈ 7.75 (not an option).
Correct Answer:
B
— 8
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Q. The area of a triangle is 60 square meters and its base is 12 meters. What is the height of the triangle in meters?
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Solution
Area = (1/2) × base × height; 60 = (1/2) × 12 × height; height = (60 × 2) / 12 = 10 meters.
Correct Answer:
B
— 10
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Q. What is the area of a circle with a diameter of 10 cm? (Use π = 3.14)
A.
78.5 cm²
B.
31.4 cm²
C.
50 cm²
D.
100 cm²
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Solution
Radius = diameter/2 = 10 cm/2 = 5 cm. Area = π × radius² = 3.14 × (5 cm)² = 78.5 cm².
Correct Answer:
A
— 78.5 cm²
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Q. What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
A.
50 cm²
B.
40 cm²
C.
30 cm²
D.
60 cm²
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Solution
Area = length × width = 10 cm × 5 cm = 50 cm².
Correct Answer:
A
— 50 cm²
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Q. What is the area of a rectangle with a length of 8 cm and a width of 5 cm?
A.
30 cm²
B.
40 cm²
C.
50 cm²
D.
60 cm²
Show solution
Solution
Area = length × width = 8 cm × 5 cm = 40 cm².
Correct Answer:
B
— 40 cm²
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Q. What is the area of a rectangle with length 10 cm and width 5 cm?
A.
50 cm²
B.
15 cm²
C.
25 cm²
D.
30 cm²
Show solution
Solution
Area = length × width = 10 cm × 5 cm = 50 cm².
Correct Answer:
A
— 50 cm²
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Q. What is the area of a regular hexagon with a side length of 3 m?
A.
15.59 m²
B.
18.00 m²
C.
23.38 m²
D.
27.00 m²
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Solution
Area = (3√3/2) × side² = (3√3/2) × (3 m)² ≈ 15.59 m².
Correct Answer:
A
— 15.59 m²
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Q. What is the area of a rhombus with diagonals of 10 cm and 6 cm?
A.
30 cm²
B.
40 cm²
C.
20 cm²
D.
50 cm²
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Solution
Area = 1/2 × diagonal1 × diagonal2 = 1/2 × 10 cm × 6 cm = 30 cm².
Correct Answer:
A
— 30 cm²
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Q. What is the area of a rhombus with diagonals of 10 cm and 8 cm?
A.
40 cm²
B.
45 cm²
C.
50 cm²
D.
55 cm²
Show solution
Solution
Area = 1/2 × d1 × d2 = 1/2 × 10 cm × 8 cm = 40 cm².
Correct Answer:
A
— 40 cm²
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Q. What is the area of a rhombus with diagonals of lengths 10 cm and 24 cm?
A.
120 cm²
B.
60 cm²
C.
80 cm²
D.
100 cm²
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Solution
Area = (d1 × d2) / 2 = (10 cm × 24 cm) / 2 = 120 cm².
Correct Answer:
A
— 120 cm²
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Q. What is the area of a sector of a circle with a radius of 10 cm and a central angle of 60 degrees (use π ≈ 3.14)?
A.
17.45 cm²
B.
20.93 cm²
C.
15.71 cm²
D.
25.13 cm²
Show solution
Solution
Area = (θ/360) × π × radius² = (60/360) × 3.14 × (10 cm)² = 17.45 cm².
Correct Answer:
A
— 17.45 cm²
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Q. What is the area of a sector of a circle with a radius of 10 cm and an angle of 60 degrees? (Use π = 3.14)
A.
17.5 cm²
B.
15.7 cm²
C.
20.9 cm²
D.
25.0 cm²
Show solution
Solution
Area = (θ/360) × π × r² = (60/360) × 3.14 × (10 cm)² = 17.5 cm².
Correct Answer:
A
— 17.5 cm²
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Q. What is the area of a sector of a circle with a radius of 4 m and a central angle of 90 degrees? (Use π = 3.14)
A.
12.56 m²
B.
6.28 m²
C.
3.14 m²
D.
9.42 m²
Show solution
Solution
Area of sector = (θ/360) × πr² = (90/360) × 3.14 × (4 m)² = 12.56 m² / 4 = 3.14 m².
Correct Answer:
B
— 6.28 m²
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Q. What is the area of a sector of a circle with a radius of 4 m and a central angle of 90 degrees?
A.
6.28 m²
B.
12.56 m²
C.
3.14 m²
D.
9.42 m²
Show solution
Solution
Area of sector = (θ/360) × πr² = (90/360) × π × (4 m)² = (1/4) × 3.14 × 16 m² = 12.56 m².
Correct Answer:
B
— 12.56 m²
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Q. What is the area of a sector of a circle with a radius of 5 cm and a central angle of 60 degrees? (Use π = 3.14)
A.
13.09 cm²
B.
15.71 cm²
C.
10.42 cm²
D.
12.27 cm²
Show solution
Solution
Area of sector = (θ/360) × πr² = (60/360) × 3.14 × (5 cm)² = 13.09 cm².
Correct Answer:
A
— 13.09 cm²
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Q. What is the area of a sector of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14)
A.
18.84 cm²
B.
12.56 cm²
C.
9.42 cm²
D.
6.28 cm²
Show solution
Solution
Area = (θ/360) × π × r² = (60/360) × 3.14 × (6 cm)² = 18.84 cm².
Correct Answer:
A
— 18.84 cm²
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Q. What is the area of a square with a side length of 4 m?
A.
8 m²
B.
12 m²
C.
16 m²
D.
20 m²
Show solution
Solution
Area = side × side = 4 m × 4 m = 16 m².
Correct Answer:
C
— 16 m²
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Showing 61 to 90 of 92 (4 Pages)
Area MCQ & Objective Questions
The concept of "Area" is a fundamental topic in mathematics that plays a crucial role in various school and competitive exams. Understanding area not only helps in solving practical problems but also enhances your analytical skills. Practicing MCQs and objective questions on area is essential for reinforcing your knowledge and improving your exam scores. With the right practice questions, you can tackle important questions confidently and excel in your exam preparation.
What You Will Practise Here
Understanding the concept of area and its significance
Calculating the area of basic geometric shapes like squares, rectangles, and triangles
Exploring the area of complex shapes, including circles and polygons
Applying formulas for area calculations in real-life scenarios
Learning about the relationship between area and perimeter
Solving problems involving composite figures
Interpreting diagrams and visual representations of area
Exam Relevance
The topic of area is frequently tested in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that require them to calculate the area of different shapes, apply formulas, and solve word problems. Common question patterns include direct calculations, multiple-choice questions, and application-based scenarios that assess a student's understanding of the concept in practical contexts.
Common Mistakes Students Make
Confusing the formulas for area and perimeter
Overlooking units of measurement when calculating area
Misinterpreting the dimensions of composite shapes
Failing to apply the correct formula for irregular shapes
Neglecting to double-check calculations, leading to simple arithmetic errors
FAQs
Question: What is the formula for the area of a triangle?Answer: The area of a triangle is calculated using the formula: Area = 1/2 × base × height.
Question: How do I find the area of a circle?Answer: The area of a circle can be found using the formula: Area = π × radius².
Question: Why is it important to understand area for competitive exams?Answer: Understanding area is crucial as it forms the basis for many real-world applications and is a common topic in various competitive exams.
Now is the time to enhance your understanding of area! Dive into our practice MCQs and test your knowledge to ensure you are well-prepared for your exams. Remember, consistent practice is key to success!
