Calculate the area of the shaded sector in the circle

Question

asked Nov 28, 2021 165k views

1 Answer

Mcniac · Answer 1 · 2021-12-04T18:15:32+0000

Answer:

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 )