Question

Find area of shaded region if
Theta = 60°
Radius (r = 5cm)​

Answer 1

area = 13.1 cm²

Explanation:

area of sector formulae:

`(theta)/(360) * \pi {r}^(2)`

theta = 60°

radius = 5 cm

π = 22/7

substitute the values into the formulae

`(60)/(360) * (22)/(7) * {5}^(2)`

`(1)/(6) * (22)/(7) * 25`

`(1)/(6) * (25 * 22)/(7)`

`(1)/(6) * (550)/(7)`

`(550 * 1)/(6 * 7)`

`(550)/(42)`

`13.1 \: cm {}^(2)`

Answer 2

≈ 13.1 cm²

Explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
`(60)/(360)`

= π × 5² ×
`(1)/(6)`

= 25π ÷ 6

≈ 13.1 cm² ( to 1 dec. place )