A circle touches two of the smaller sides of a `DeltaABC(a lt b lt c)` and has its centre on the greater side. Then, find the radius of the circle.

If the length of a chord of a circle at a distance of 5 cm from the centre of a circle is 24 cm, find the radius of the circle.

The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm.Find the radius of the circle.

Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle.

The length of a chord of a circle is 4 cm. If its perpendicular distance from the centre is 1.5 cm, determine the radius of the circle.

The adjoining figure shows two circles with the same centre. The radius of the larger circle is 10 cm and the radius of the smaller circle is 4 cm(a) the area of the larger circle (b) the area of the smaller circle (c) the shaded area between the two circles. ( pi = 3.14)

ABCD is a square of side length 2 units. C_(1) is the circle touching all the sides of the square ABCD and C_(2) is the circumcircle of square ABCD. L is a fixed line in the same plane and R is fixed point. If a circle is such that it touches the line L and the circle C_(1) externally, such that both the circles are on the same side of the line, then the locus of centre of the circle is

Given the sum of the perimiter of a square and a circle, show that the sum of their areas is least when the side of the square is equal to radius of the circle.

O is the centre of the circle. (a) Name all the chords of the circle. (b) Name all the radii of the circle. (c) Name the chord which is not the diameter of the circle. (d) Identify three sectors of the circle. (e) Which is the smaller and larger segment of the circle.

The area enclosed between two concentric circles is 770 sq. cm given that the radius of the outer circle is 21 cm. Find the radius of the inner circle.