Question

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

Answer 1

19.2cm²

Explanation:

Given parameters:

Radius of the circle = 7cm

Angle subtended by the arc = 45°

Unknown:

Area of the sector = ?

Solution:

To find the area of the sector, use the expression below;

Area of sector =
`(Angle of the arc)/(360) x \pi r^(2)`

where r is the radius ;

Insert the parameters and solve;

Area of sector =
`(45)/(360)` x
`\pi` x 7²

Area of sector = 19.2cm²