A polygon of nine sides, each side of length 2, is inscribed in a circle. The radius of the circle is ____________.

Find the area of a square inscribed in a circle of radius 8 cm.

Line segment joining the centre to any point on the circle is a radius of the circle

What is the area of an equilateral triangle inscribed in a circle of radius 4cm?

A triangle has vertices A, B and C, and the respective opposite sides have lengths a, b and c. This triangle is inscribed in a circle of radius R. If b=c=1 and the altitude from A to side BC has length sqrt(2/3) , then R equals:

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.

The pair of tangents AP and AQ drawn from an external point to a circle with centre O are perpendicular to each other and the length of each tangent is 4 cm. Then, the radius of the circle is ... cm.

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

A chord of a circle, which is twice as long as its radius, is a diameter 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.

Answer each question by selecting the proper alternative from those given below each question so as to make each statement true : The area of a square that can be inscribed in a circle of radius 8 cm is ………… cm^(2) .