A sector of 56° cut out from a circle contains area 4.4cm². Find the radius of the circle.

The minute hand of a clock is cm long. Find the area described by the minute hand on the face of the clock between 7.00AM and 7.05AM.

The minute hand of a clock is 10cm long. Find the area of the face of the clock described by the minute hand between 8AM and 8.25AM.

In a circle of radius 6cm, a chord of length 10cm makes an angle of 110° at the centre of the circle. Find:

(i)the circumference of the circle,

(ii)the area of the circle,

(iii)the length of the arc AB,

(iv)the area of the sector OAB.

Fig.15.17, shows a sector of a circle, centre O, containing an angle θ°. Prove that:

(i) Perimeter of the shaded region is

(ii) Area of the shaded region is