Question

Select the correct option from the given alternatives :

A semicircle is divided into two sectors whose angles are in the ratio 4:5. Find the ratio of their areas?

Options

• 5:1

• 4:5

• 5:4

• 3:4

Answer 1

4:5

Explanation:

`θ_1/θ_2 = 4/5`

`"A"_1/"A"_2 = (1/2 "r"^2 θ_1)/(1/2 "r"^2 θ_2)`

`"A"_1/"A"_2 = 4/5`