Circles
Practice Circles MCQs from Geometry — Mathematics.
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:
Find the length of the arc of a circle of radius 7 cm which subtends an angle of 90 degrees at the center.
If the sum of the radii of two circles which touch each other externally is 10 cm and the distance between their centers is 10 cm, how many common tangents do they have?
An equilateral triangle ABC is inscribed in a circle. What is the angle subtended by side AB at the center?
The difference between the circumference and the radius of a circle is 37 cm. What is its radius?
Find the angle subtended by a chord of length equal to the radius at the center.
A point P is 25 cm from the center of a circle and the length of the tangent from P is 24 cm. The radius of the circle is:
In a cyclic quadrilateral, if the ratio of two opposite angles is 4:5, find the larger angle.
If two circles of radii 18 cm and 8 cm touch each other externally, find the length of their direct common tangent.