Question

If a chord of a circle of  radius 28 cm makes an angle of 90 ° at the centre, then the area of the major segment is

पर्याय

• 392 cm²

•  1456 cm²

• 1848 cm²

• 2240 cm²

Answer 1

Area of major segment,

`="Area of circle"=[piθ/360-sin  θ/2 cos  θ/2](r^2)^2`

`= pi(28)^2-(pi/4-1/2)(28)^2`

`=784pi-196(pi-2)`

`=2240 cm^2`