Mensuration of 2D Shapes - Problems on Circles - Problem Set

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

The "Mensuration of 2D Shapes - Problems on Circles - Problem Set" is a crucial topic for students preparing for various exams. Understanding this area not only enhances your mathematical skills but also boosts your confidence in tackling objective questions. Practicing MCQs and important questions in this category helps in solidifying concepts and improving your exam scores.

What You Will Practise Here

  • Understanding the properties of circles, including radius, diameter, and circumference.
  • Calculating the area of circles using the formula A = πr².
  • Solving problems related to the circumference of circles with C = 2πr.
  • Exploring the relationship between diameter and radius in various problems.
  • Applying concepts of circles in real-life scenarios and word problems.
  • Identifying and using theorems related to circles, such as tangent properties.
  • Interpreting diagrams and visual representations of circular shapes.

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 and solve problems based on given data. Common question patterns include calculating areas and circumferences, as well as solving word problems that involve circles.

Common Mistakes Students Make

  • Confusing the formulas for area and circumference of circles.
  • Misinterpreting the radius and diameter in problem statements.
  • Overlooking units of measurement, leading to incorrect answers.
  • Failing to apply the correct order of operations in complex problems.

FAQs

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

Question: How do I find the circumference of a circle?
Answer: The circumference can be calculated using the formula C = 2πr, where r is the radius.

Now is the time to enhance your understanding of circles! Dive into our practice MCQs and test your knowledge on the "Mensuration of 2D Shapes - Problems on Circles - Problem Set". Your success in exams starts with solid practice!

Q. A circle has a radius of 3 cm. What is the circumference?
  • A. 6π cm
  • B. 9.42 cm
  • C. 12 cm
  • D. 3π cm
Q. A circle is inscribed in a square. If the side of the square is 8 cm, what is the area of the circle?
  • A. 50.24 cm²
  • B. 64 cm²
  • C. 25.12 cm²
  • D. 32 cm²
Q. If a circle has a radius of 2 cm, what is the area of the sector formed by a 60-degree angle?
  • A. 2.09 cm²
  • B. 1.05 cm²
  • C. 0.67 cm²
  • D. 3.14 cm²
Q. If a circle has a radius of 5 cm, what is the area of the sector formed by a 60-degree angle?
  • A. 13.09 cm²
  • B. 25.00 cm²
  • C. 15.71 cm²
  • D. 20.94 cm²
Q. If the area of a circle is 50.24 cm², what is the radius?
  • A. 4 cm
  • B. 5 cm
  • C. 6 cm
  • D. 7 cm
Q. What is the diameter of a circle with an area of 113.04 cm²?
  • A. 12 cm
  • B. 10 cm
  • C. 8 cm
  • D. 6 cm
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