Question Bank
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A chord of length 24 cm is at a distance of 5 cm from the center. Find the radius.
How many common tangents do two circles have if they intersect at two points?
If the circumference of a circle is equal to the perimeter of a square, then the ratio of their areas is:
An arc of length 15 cm subtends an angle of 45 degrees at the center. Find the radius.
Find the angle subtended at the center by a chord which is equal to the radius.
If a chord is 16 cm long and the radius of the circle is 10 cm, how far is the chord from the center?
If a cyclic quadrilateral has one angle equal to 70 degrees, what is the measure of the opposite angle?
In a circle, a chord AB is 10 cm and the radius is 13 cm. What is the distance of the chord from the center?
If the area of a circle is numerically equal to its circumference, find its radius.
The alternate segment theorem states that the angle between a tangent and a chord through the point of contact is equal to:
The area of a circle increases by what percent if its radius is doubled?
In the given figure, if angle BOC = 100, find angle BAC. (O is center)
A chord is 8 cm long and its distance from the center is 3 cm. What is the diameter?
Find the length of the arc of a circle of diameter 14 cm which subtends an angle of 36 degrees at the center.
If the perimeter of a semi-circular protractor is 36 cm, find its diameter. (pi = 22/7)
Two circles of radii 5 cm and 3 cm touch each other externally. Find the distance between their centers.
If a line y = mx + c is a tangent to the circle x^2 + y^2 = a^2, then c is equal to:
Two circles of radii 10 cm and 8 cm intersect and their common chord is 12 cm long. Find the distance between their centers.
What is the area of a circle inscribed in an equilateral triangle of side 'a'?