Geometry

Two circles touch internally. Their radii are 10 cm and 4 cm. What is the distance between their centers?

Angle in the major segment of a circle is:

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.

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)