Question

Find the area of the shaded region

(the number is 8 for anyone not able to read it)

Answer 1

≈ 18.3 m²

Explanation:

The shaded area (A) is calculated as

A = area of sector - area of right triangle

area of sector = area of circle × fraction of circle

A = πr² ×
`(90)/(360)`

= π × 8² ×
`(1)/(4)` = 64π ×
`(1)/(4)` = 16π m²

area of triangle =
`(1)/(2)` × 8 × 8 = 4 × 8 = 32 m²

shaded area is then

A = 16π - 32 ≈ 18.3 m² ( to the nearest tenth )