Circles

Math ⇒ Geometry

Circles starts at 7 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Circles. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 10

A circle has a circumference of 44 cm. What is its diameter? (Use π = 22/7)

A circle has a radius of 10 cm. What is the area of a sector with a central angle of 90°? (Use π = 3.14)

A circle has a radius of 6 cm. What is the length of a chord that is 3 cm from the center?

A circle has an area of 154 cm². What is its radius? (Use π = 3.14)

A circle with center O has a chord AB. If OA = OB = 8 cm and AB = 12 cm, find the distance from O to AB.

Calculate the area of a circle with radius 5 cm. (Use π = 3.14)

If a circle has a diameter of 20 cm, what is its circumference? (Use π = 3.14)

If the angle subtended by an arc at the center is 60°, what fraction of the circle’s circumference is the arc?

If the area of a circle is 314 cm², what is its radius? (Use π = 3.14)

If the area of a sector of a circle is 25π cm² and the radius is 10 cm, what is the angle of the sector at the center?

If the circumference of a circle is 31.4 cm, what is its radius? (Use π = 3.14)

If the equation of a circle is (x - 2)² + (y + 3)² = 25, what are the coordinates of its center?

If the length of a tangent from a point 13 cm from the center of a circle is 12 cm, what is the radius of the circle?

If the length of an arc is 10 cm and the radius is 5 cm, what is the angle subtended by the arc at the center (in radians)?

If the radius of a circle is 7 cm, what is its diameter?

What is the name of the line segment that passes through the center of a circle and has its endpoints on the circle?