Question

Calculate the area of the shaded sector in the circle​

Answer 1

area ≈ 6.3 units²

Explanation:

Calculate the area (A ) of the sector as

A = area of circle × fraction of circle

= πr² ×
`(45)/(360)`

= π × 4² ×
`(1)/(8)`

= 16π ×
`(1)/(8)` ← cancel 8 and 16 by 8, leaving

A = 2π ≈ 6.3 units² ( to 1 dec. place )