Question Bank
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What is the sum of central angles of all sectors in a circle?
In the figure, PQ is a tangent at A. If angle BAC = 60 degrees (C is on circumference), what is the angle between the tangent and chord AB if it is equal to the angle in the alternate segment?
If the angle between two tangents drawn from an external point to a circle of radius 'r' is 60 degrees, find the length of each tangent.
Two concentric circles have radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.
If the length of an arc of a circle of radius 14 cm is 22 cm, find the central angle subtended by it.
In a cyclic quadrilateral ABCD, if angle A = 2x and angle C = 3x, find the value of x.
Two tangents PA and PB are drawn to a circle with center O from an external point P. If angle APB = 80 degrees, find angle POA.
Find the area of a sector of a circle with radius 6 cm if the angle of the sector is 60 degrees.
In a circle, two chords AB and CD intersect at E. If AE = 4, EB = 3, and CE = 2, find ED.
If the side of a square inscribed in a circle is 10 cm, what is the radius of the circle?
The angle subtended by an arc at the center is 120 degrees. What is the angle subtended by the same arc in the major segment?
If the area of a circle is numerically equal to its circumference, what is its radius?
In a circle, chord AB = chord AC. If angle BAC = 40 degrees, find angle ABC.
A bicycle wheel makes 5000 revolutions in moving 11 km. What is the diameter of the wheel?
In the figure, O is the center. ABCD is a cyclic quadrilateral. If angle ABC = 95 degrees, what is the value of angle ADC?
If the diameter of a circle increases by 100%, its area increases by:
Two circles of radii 10 cm and 8 cm intersect and the length of the common chord is 12 cm. Find the distance between their centers.
What is the ratio of areas of two circles if the ratio of their circumferences is 3:4?
The length of a tangent from a point P at distance 13 cm from the center of a circle is 12 cm. What is the radius?
If a chord AB of a circle subtends 60 degrees at the center, then the triangle OAB is: