Question

The radius of a circle is 7cms. The angle subtended by an arc of the circle at centre is 45°. Find
the area of sector.​

Answer 1

Answer:

Given:

Area of minor sector, A=77 cm

2

Angle subtended by sector, θ=45

o

To find: Radius r

Area of minor sector subtending angle of θ

o

at center of a circle of radius r is given by A=

360

θ

×πr

2

Substituting values, we get:

77=

360

45

×πr

2

r≈

45×22/7

77×360

∵π≈22/7

r=14 cm