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Q. A chord of a circle is 8 cm long and is 3 cm away from the center. What is the radius of the circle? (2021)
  • A. 5 cm
  • B. 7 cm
  • C. 10 cm
  • D. 9 cm
Q. A circle has a circumference of 31.4 cm. What is its radius? (2021)
  • A. 5 cm
  • B. 10 cm
  • C. 15 cm
  • D. 20 cm
Q. If a circle has an area of 50π cm², what is its diameter? (2020)
  • A. 10 cm
  • B. 20 cm
  • C. 5 cm
  • D. 15 cm
Q. If a circle's radius is doubled, how does its area change? (2020)
  • A. It remains the same
  • B. It doubles
  • C. It triples
  • D. It quadruples
Q. If the area of a circle is 50π cm², what is the diameter? (2022)
  • A. 10 cm
  • B. 20 cm
  • C. 25 cm
  • D. 15 cm
Q. If the center of a circle is at (3, 4) and it passes through the point (7, 1), what is the radius? (2019)
  • A. 5 units
  • B. 4 units
  • C. 3 units
  • D. 6 units
Q. If the diameter of a circle is 12 cm, what is the circumference? (2019)
  • A. 12π cm
  • B. 24π cm
  • C. 6π cm
  • D. 36π cm
Q. If the diameter of a circle is 20 cm, what is the circumference? (2019)
  • A. 20π cm
  • B. 40π cm
  • C. 10π cm
  • D. 30π cm
Q. If the diameter of a circle is increased by 50%, what is the percentage increase in the area of the circle? (2021)
  • A. 50%
  • B. 75%
  • C. 100%
  • D. 125%
Q. If two circles intersect at points A and B, and the distance between their centers is 10 cm, what is the maximum possible radius of each circle? (2021)
  • A. 5 cm
  • B. 10 cm
  • C. 15 cm
  • D. 20 cm
Q. The radius of a circle is increased by 50%. What is the percentage increase in the area of the circle? (2020)
  • A. 50%
  • B. 75%
  • C. 100%
  • D. 125%
Q. Two circles have radii of 3 cm and 4 cm. What is the distance between their centers if they are externally tangent? (2022)
  • A. 7 cm
  • B. 1 cm
  • C. 12 cm
  • D. 5 cm
Q. Two circles touch each other externally. If the radius of the first circle is 3 cm and the second is 5 cm, what is the distance between their centers? (2023)
  • A. 8 cm
  • B. 2 cm
  • C. 15 cm
  • D. 10 cm
Q. Two circles with radii 3 cm and 4 cm are externally tangent. What is the distance between their centers? (2022)
  • A. 7 cm
  • B. 1 cm
  • C. 12 cm
  • D. 5 cm
Q. Two circles with radii 5 cm and 3 cm are externally tangent. What is the distance between their centers? (2023)
  • A. 8 cm
  • B. 10 cm
  • C. 6 cm
  • D. 5 cm
Q. What is the area of a sector of a circle with radius 10 cm and angle 90 degrees? (2022)
  • A. 25π cm²
  • B. 50π cm²
  • C. 100π cm²
  • D. 75π cm²
Q. What is the area of a sector of a circle with radius 6 cm and a central angle of 90 degrees? (2023)
  • A. 9π cm²
  • B. 12π cm²
  • C. 18π cm²
  • D. 6π cm²
Q. What is the area of a sector of a circle with radius 6 cm and angle 90 degrees? (2021)
  • A. 9π cm²
  • B. 12π cm²
  • C. 18π cm²
  • D. 6π cm²
Q. What is the equation of a circle with center at (2, -3) and radius 4? (2022)
  • A. (x-2)² + (y+3)² = 16
  • B. (x+2)² + (y-3)² = 16
  • C. (x-2)² + (y-3)² = 16
  • D. (x+2)² + (y+3)² = 16
Q. What is the equation of a circle with center at (3, -2) and radius 4? (2023)
  • A. (x-3)² + (y+2)² = 16
  • B. (x+3)² + (y-2)² = 16
  • C. (x-3)² + (y-2)² = 16
  • D. (x+3)² + (y+2)² = 16
Q. What is the equation of a circle with center at (3, -2) and radius 5? (2022)
  • A. (x-3)² + (y+2)² = 25
  • B. (x+3)² + (y-2)² = 25
  • C. (x-3)² + (y-2)² = 25
  • D. (x+3)² + (y+2)² = 25
Q. What is the length of an arc of a circle with a radius of 7 cm and a central angle of 60 degrees? (2023)
  • A. 7π/3 cm
  • B. 14π/3 cm
  • C. 14 cm
  • D. 21 cm
Q. What is the length of an arc of a circle with radius 5 cm and central angle 60 degrees? (2023)
  • A. 5π/3 cm
  • B. 5π/6 cm
  • C. 5π/12 cm
  • D. 5π/4 cm
Q. What is the length of the diameter of a circle with an area of 50π square units? (2023)
  • A. 10 units
  • B. 5 units
  • C. 20 units
  • D. 15 units
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Circles MCQ & Objective Questions

Understanding circles is crucial for students preparing for various school and competitive exams. Circles are not only a fundamental concept in geometry but also frequently appear in MCQs and objective questions. Practicing these questions helps reinforce your understanding and boosts your confidence, ultimately leading to better scores in exams. Dive into our collection of important questions and practice questions to enhance your exam preparation.

What You Will Practise Here

  • Definition and properties of circles
  • Formulas related to circumference and area
  • Chords, tangents, and secants
  • Angles subtended by arcs and chords
  • Circle theorems and their applications
  • Sector and segment of a circle
  • Real-life applications of circles in various fields

Exam Relevance

Circles are a significant topic in the CBSE curriculum and are also relevant for State Boards, NEET, and JEE exams. Students can expect questions related to the properties of circles, calculations involving area and circumference, and application-based problems. Common question patterns include multiple-choice questions that test both theoretical understanding and practical application of circle concepts.

Common Mistakes Students Make

  • Confusing the terms radius, diameter, and circumference
  • Misapplying circle theorems in problem-solving
  • Overlooking the importance of units in area and circumference calculations
  • Failing to visualize problems involving tangents and secants

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 length of an arc?
Answer: The length of an arc can be found using the formula L = (θ/360) × 2πr, where θ is the angle in degrees and r is the radius.

Start solving our Circles MCQ questions today to solidify your understanding and prepare effectively for your exams. Remember, practice makes perfect!

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