Mensuration of 2D Shapes - Problems on Circles - Applications

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Mensuration of 2D Shapes - Problems on Circles - Applications MCQ & Objective Questions

The topic of "Mensuration of 2D Shapes - Problems on Circles - Applications" is crucial for students preparing for various school and competitive exams. Understanding this area not only helps in grasping fundamental concepts but also enhances problem-solving skills. Practicing MCQs and objective questions related to this topic can significantly improve your exam performance and boost your confidence in tackling important questions.

What You Will Practise Here

  • Understanding the properties of circles, including radius, diameter, and circumference.
  • Calculating the area of circles and related 2D shapes.
  • Application of formulas for circumference and area in real-life problems.
  • Solving problems involving sectors and segments of circles.
  • Exploring the relationship between circles and other geometric figures.
  • Utilizing diagrams to visualize and solve mensuration problems effectively.
  • Practicing important Mensuration of 2D Shapes - Problems on Circles - Applications MCQ questions.

Exam Relevance

This topic is frequently tested in CBSE, State Boards, and competitive exams like NEET and JEE. Students can expect questions that require them to apply formulas for area and circumference, as well as solve problems involving composite shapes that include circles. Common question patterns include direct calculations, application-based problems, and conceptual questions that test understanding of the properties of circles.

Common Mistakes Students Make

  • Confusing the radius and diameter when calculating area and circumference.
  • Overlooking the units of measurement, leading to incorrect answers.
  • Misinterpreting the question, especially in application-based problems.
  • Failing to visualize the problem, which can hinder the understanding of complex shapes.

FAQs

Question: What is the formula for the area of a circle?
Answer: The area of a circle is calculated using the formula A = πr², where r is the radius of the circle.

Question: How do I find the circumference of a circle?
Answer: The circumference can be found using the formula C = 2πr or C = πd, where d is the diameter of the circle.

Question: Why is it important to practice MCQs on this topic?
Answer: Practicing MCQs helps reinforce concepts, improves speed, and enhances accuracy, which is essential for scoring well in exams.

Don't miss the opportunity to strengthen your understanding of this vital topic. Dive into our practice MCQs and test your knowledge on Mensuration of 2D Shapes - Problems on Circles - Applications. Your success in exams starts with effective preparation!

Q. A circle is inscribed in a square with a side length of 10 cm. What is the area of the circle?
  • A. 78.5 cm²
  • B. 100 cm²
  • C. 50 cm²
  • D. 25 cm²
Q. A circle is inscribed in a square with a side length of 8 cm. What is the area of the circle?
  • A. 50.24 cm²
  • B. 64 cm²
  • C. 25.12 cm²
  • D. 32 cm²
Q. A sector of a circle has a radius of 5 cm and a central angle of 60 degrees. What is the area of the sector?
  • A. 13.09 cm²
  • B. 25 cm²
  • C. 15.71 cm²
  • D. 20.94 cm²
Q. A sector of a circle has a radius of 6 cm and a central angle of 60 degrees. What is the area of the sector?
  • A. 12π cm²
  • B. 6π cm²
  • C. 3π cm²
  • D. 9π cm²
Q. If a circle has an area of 50 cm², what is its radius?
  • A. 5 cm
  • B. 7.07 cm
  • C. 10 cm
  • D. 8 cm
Q. If a circle has an area of 78.5 cm², what is its radius?
  • A. 5 cm
  • B. 7 cm
  • C. 10 cm
  • D. 6 cm
Q. If the diameter of a circle is 12 cm, what is its area?
  • A. 113.04 cm²
  • B. 36 cm²
  • C. 144 cm²
  • D. 28.26 cm²
Q. What is the diameter of a circle with a circumference of 62.8 cm?
  • A. 20 cm
  • B. 10 cm
  • C. 15 cm
  • D. 5 cm
Q. What is the length of the arc of a circle with a radius of 4 cm and a central angle of 90 degrees?
  • A. 3.14 cm
  • B. 6.28 cm
  • C. 12.56 cm
  • D. 1.57 cm
Q. What is the perimeter of a circle with a radius of 10 cm?
  • A. 31.4 cm
  • B. 62.8 cm
  • C. 20 cm
  • D. 15.7 cm
Q. What is the perimeter of a circle with a radius of 3 cm?
  • A. 18.84 cm
  • B. 9.42 cm
  • C. 12.56 cm
  • D. 6.28 cm
Q. What is the perimeter of a semicircle with a diameter of 14 cm?
  • A. 21 cm
  • B. 28 cm
  • C. 22 cm
  • D. 35 cm
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