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

A is the centre of the circle and ABCD is a square. If BD = 4cm then find the radius of the circle

PM is a tangent to a circle with centre O touching the circle at M. If OP=85cm and PM=77cm, find the radius of the circle.

Out of two cocentric circles, the radius of the outer cirle is 25cm and the chord AC of length 48cm is a tangent to the inner circle. Find the radius of the inner circle.

Find the centre and the radius of the circle x^(2)+y^(2)+8x+10y-8=0 .

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.

Point M lies in the exterior of a circle with centre A and a tangent from M touches the circle at N. If AM=41cm and MN=40cm, find the radius of the circle.

In the figure, ‘O’ is the centre of the circle. OM = 3cm and AB = 8cm. Find the radius of the circle

A point P is 26cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 10cm. Find the radius of the circle.

A playground has the shape of a rectangle, with two semicircles on its smaller sides as diameters, added to its outside. If the sides of the rectangle are 36 m and 24.5 m, find the area of the playground.

In the given figure, AB = 36 cm and M is the midpoint of AB. Semicircles are drawn on AB, AM and MB as diameters. A circle with centre C touches all the three circles. Find the area of shaded region. [Hint : Take O as the centre of semicircle on diameter AM. Take the radius of the circle with centre C as r. Then , OC = (9 + r)cm, OM = 9 cm and CM = (18-r) cm. Now, use Pythagoras theorem and find r = 6 cm.]