Question

A tan is shaped as a sector of a circle radius 12cm with the angle 110 at the centre calculate the area of the fan

Answer 1

≈ 138.2 cm²

Explanation:

The area (A) of the sector of the circle is calculated as

A = area of circle × fraction of circle

= πr² ×
`(110)/(360)`

= π × 12² ×
`(110)/(360)`

= 144π ×
`(110)/(360)`

=
`(144(110))\pi )/(360)` ≈ 138.2 cm² ( to 2 dec. places )