Q16 of 68 Page 15

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.

Given,

Length of minute hand = 10cm

Angle subtend by minute hand in 25 minute (8-8.25) = 25×6 = 150°

So,

Area described by minute hand between (8-8.25) =

A sector is cut-off from a circle of radius 21cm. The angle of the sector is 120°. Find the length of its arc and the area.

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.

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

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.