Question

I’m going to need a serious answer through this one or I’m screwed.

Answer 1

58.83 ft^2

Explanation:

Finding the radius:

A = πr^2

90 = πr^2

90/π = r^2

28.6 = r^2

5.3 = r

Using the area of a sector of a circle formula:

θ/360 x πr^2

240/360 x π(5.3)^2

= 58.83 ft^2

Answer 2

A = 60 ft²

Explanation:

the area (A) of the shaded sector is calculated as

A = area of circle × fraction of circle

= 90 ×
`(240)/(360)`

= 90 ×
`(2)/(3)`

= 30 × 2

= 60 ft²