Practice Circle Questions and Answers

• Two chords AB and CD of a circle intersect at E such that AE = 3.4 cm, BE = 4.2 cm and CE = 2.6 cm. What is the approximate length of DE?
• Find out the circumference of a sector whose radius is 7 cm and it makes the angle of 45° at the centre. 
• If a wheel covers a distance of 660 m in 30 rotations, then the diameter of the wheel is?
• If a wheel covers a distance of 2200 cm in 7 rotations, then the diameter of the wheel is?
• In the given figure, ABC and MNC are two secants of a circle which intersect each other at C outside the circle. AN is the diameter of the Circle. If angle...
• In a circle AB is diameter & C is a point on circumference such that AC = 13 cm & BC = 84 cm then find the area of circle ?
• In a circle AB is diameter & C is a point on circumference such that AC = 8 cm & BC = 15 cm then find the area of circle ?
• In a circle, the length of a chord AB is 48 cm & radius is 25 cm. Find the distance between centre and chord.
• In a triangle, PT is tangent and PAB is secant which cuts on a circle at points A & B. If PT= 12 cm, PA= 8 cm then find the legth of AB.
• In a circle, two chords AB & CD are produced at P which is outside the circle . If PA= 18 cm, AB= 12 cm , PC = 6 cm then find CD.
• In a circle, two chords AB & CD are produced at P which is outside the circle . If PA= 12 cm, AB= 10 cm , PC = 2 cm then find CD.
• A metal wire when bent in the form of a square encloses an area 1089 cm 2 , if the same wire is bent in the form of a circle, then its area is?
• Sum of diameter and circumference of a circle is 232 cm, the find area of circle.
• A circle touches all four sides of a quadrilateral. If AB = 18 cm, BC = 21 cm, and AD = 15 cm, then what is the length of CD?
• The minute hand of a clock is 28cm long. Find the area on the face of the clock swept by the minute hand between 8 a.m. and 8: 45a.m
• The area of a sector of a circle is 88cm² and the angle of the sector is 60º. Find the radius of the circle.
• What is the perimeter of the square inscribed in a circle of radius 6 cm.
• One chord of a circle is given as 18.5 cm. Then the radius (r) of the circle must be:
• The wheel of a car made 300 rotations. How much distance did the car travel if the diameter of the wheel is 28 inches? (1 inch = 2.54cm)
• If the lengths of the diameters of two concentric circles are 16cm and 18cm respectively, then what will be the area of the region between them?
• The circumference of the two circles is 120 cm and 428 cm respectively. What is the difference between their radii?
• A circular racing track has been developed in a field. If the difference between the outer circumference and the inner circumference of the racing track is...
• Two circles of radii 15 cm and 10 cm touch each other externally at a point A. PQ is the direct common tangent of those two circles of centers O ₁ and O ...
• The circumference of a circle is 44 cm. What is its radius? (Use π = 22/7)
• If the radius of a circle is 15 cm, then which of the following is true regarding the length of the chord (L)?
• Two chords of a circle 'PQ' and 'RS' crosses each other at an exterior point 'O'. Determine the length of the chord 'RS' if the chord PQ is 36 cm long, the...
• A sector of a circle has a central angle of 120° and a radius of 10 cm. Find the area of the sector.
• Two tangents are drawn from an external point P to a circle with center O and radius r. If the distance between P and O is 2r, find the angle subtended by ...
• A square PQRS is inscribed inside a circle. Another circle is inscribed within the square PQRS, and this process repeats infinitely. If the radius of the i...
• The area of a sector of a circle is 144π cm², and the radius of the circle is 24 cm. Find the angle of the sector in radians.
• Find the area of the sector of a circle with radius 14 cm and central angle 90°.
• In a circle, the length of a chord is 20 cm, and the perpendicular from the center to the chord divides it into two equal parts. If the distance from the c...
• A sector of a circle has a central angle of 60°. If the radius of the circle is 14 cm, what is the area of the sector?
• A semicircle has a radius of 7 cm. What is the perimeter of the semicircle?
• In the given diagram, point 'O' represents the center of a circle, while AB and DE are two distinct chords within the circle. The line segment OC is perpen...
• A sector of a circle has a central angle of 90°. If the radius of the circle is 10 cm, what is the area of the sector?
• Find the area of a circle whose radius is (3/4)ᵗʰ of the side of a square whose area is 1,600 cm². (Use π = 3.14)
• A square has an area of 2,500 cm². Find the area of a circle whose radius is (2/5)ᵗʰ of the length of the square’s side. (Take π = 3.14)
• The area of a square is 3,600 cm². Find the area of a circle whose radius is (2/3)ᵗʰ of the side of the square. (Use π = 3.14)
• A circular sector has a radius of 14 cm and an area of 154 cm². What is the angle formed at the center by the arc? (Take π = 22/7)