Mensuration of 2D Shapes - Problems on Circles

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

The topic of Mensuration of 2D Shapes, particularly Problems on Circles, is crucial for students preparing for school and competitive exams. Understanding this area not only enhances your mathematical skills but also boosts your confidence in tackling objective questions. Practicing MCQs and important questions related to circles can significantly improve your exam preparation and help you score better.

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 involving the circumference of circles with C = 2πr.
  • Exploring the relationship between diameter and radius in various contexts.
  • Applying the concepts of sectors and segments of circles in practical problems.
  • Interpreting and drawing diagrams related to circle problems.
  • Working through real-life applications of circle measurements in various scenarios.

Exam Relevance

Mensuration of 2D Shapes, especially Problems on Circles, is a recurring topic in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that require them to apply formulas, interpret diagrams, and solve practical problems. Common question patterns include direct calculations of area and circumference, as well as application-based problems that test conceptual understanding.

Common Mistakes Students Make

  • Confusing the formulas for area and circumference, leading to incorrect answers.
  • Overlooking the units of measurement, which can affect the final result.
  • Misinterpreting the question, especially in application-based problems.
  • Failing to visualize the problem through diagrams, which can hinder understanding.
  • Neglecting to double-check calculations, resulting in simple arithmetic errors.

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 found using the formula C = 2πr, where r is the radius.

Question: Why is it important to practice MCQs on circles?
Answer: Practicing MCQs helps reinforce concepts, improve problem-solving speed, and enhances overall exam readiness.

Now is the time to sharpen your skills! Dive into our practice MCQs on Mensuration of 2D Shapes - Problems on Circles and test your understanding. The more you practice, the better prepared you will be for your exams!

Q. A circle has a diameter of 10 cm. What is its area?
  • A. 78.5 cm²
  • B. 31.4 cm²
  • C. 50 cm²
  • D. 100 cm²
Q. A circle has a radius of 2.5 m. What is its circumference?
  • A. 15.7 m
  • B. 10 m
  • C. 5 m
  • D. 20 m
Q. A circle has an area of 50.24 cm². What is its diameter?
  • A. 8 cm
  • B. 10 cm
  • C. 12 cm
  • D. 14 cm
Q. A circle is inscribed in a square with a side length of 6 cm. What is the area of the circle?
  • A. 28.26 cm²
  • B. 36 cm²
  • C. 18.84 cm²
  • D. 12 cm²
Q. If a circle has a radius of 3 cm, what is its diameter?
  • A. 3 cm
  • B. 6 cm
  • C. 9 cm
  • D. 12 cm
Q. If a circle has a radius of 3 cm, what is the length of an arc that subtends a central angle of 90 degrees?
  • A. 2.36 cm
  • B. 3.14 cm
  • C. 4.71 cm
  • D. 7.07 cm
Q. If a circle has a radius of 3 cm, what is the length of an arc that subtends a central angle of 60 degrees?
  • A. 3.14 cm
  • B. 3.77 cm
  • C. 5.24 cm
  • D. 6.28 cm
Q. What is the area of a circle with a circumference of 62.8 cm?
  • A. 100 cm²
  • B. 200 cm²
  • C. 300 cm²
  • D. 400 cm²
Q. What is the circumference of a circle with a radius of 4 cm?
  • A. 12.56 cm
  • B. 25.12 cm
  • C. 16 cm
  • D. 50.24 cm
Q. What is the radius of a circle if its area is 50.24 cm²?
  • A. 4 cm
  • B. 5 cm
  • C. 6 cm
  • D. 7 cm
Q. What is the radius of a circle whose area is 113.04 cm²?
  • A. 6 cm
  • B. 7 cm
  • C. 8 cm
  • D. 9 cm
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