Question Bank
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What is the ratio of circumference to diameter of any circle?
An exterior angle of a cyclic quadrilateral is equal to its:
How many common tangents can be drawn to two non-intersecting circles that are far apart?
In a circle with center O, chord AB = 8 cm and the perpendicular distance from O to AB is 3 cm. Find the radius of the circle.
In the given figure, O is the center. If angle OAB = 30 degrees, find angle ACB.
If PQ and PR are two tangents to a circle with center O such that angle QPR = 50 degrees, what is angle QOR?
Two chords AB and CD of a circle intersect at E. If AE = 4 cm, EB = 6 cm, and CE = 3 cm, find the length of ED.
In a cyclic quadrilateral ABCD, if angle A = 3x and angle C = x, find the value of x.
The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the radius is 5 cm, and chords are on the same side of the center, find the distance between them.
If the angle between two radii is 120 degrees, find the angle between the tangents at the ends of those radii.
Find the area of a sector of a circle with radius 6 cm if the angle of the sector is 60 degrees.
If a square is inscribed in a circle of radius r, what is the area of the square?
What is the angle subtended by a minor arc in the major segment?
In the figure, PQ is a tangent at P. If O is the center and angle OPQ = 90 degrees, and OP = 5 cm, OQ = 13 cm, find PQ.
Two circles touch internally. Their radii are 10 cm and 4 cm. What is the distance between their centers?
The length of a tangent from a point 10 cm away from the center of a circle of radius 6 cm is:
In a cyclic quadrilateral ABCD, if angle A - angle C = 60 degrees, find angle C.
Find the area of the largest triangle that can be inscribed in a semi-circle of radius r.