Find the area of a sector of a circle of radius 14cm which subtend an angle 280

Answer 1

Area of a circle = r² π

Area of a sector of a circle = r² π ∙ θ / 360°

In this case:

A = r² π ∙ 280 / 360 = 14² π ∙ 280 / 360 =

196 π ∙ 40 ∙ 7 / 40 ∙ 9 = 196 π ∙ 7 / 9 = 1372 π / 9 =

1372 ∙ 3.1416 / 9 = 4310.2752 / 9 = 478.91946 ≈ 479 cm²

≈ means approximately equal