Question

URGENT NEED THIS ANSWER SOON FOR THIS MATH QUESTION

Answer 1

22.2 ft²

Explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

= πr² ×
`(50)/(360)`

= π × 7.13² ×
`(5)/(36)`

= π × 50.8369 ×
`(5)/(36)`

=
`(50.8369(5)\pi )/(36)` ≈ 22.2 ft² ( nearest tenth )

Answer 2

Area of smaller sector = 22.2 ft²

Explanation:

Points to remember

Area of circle = πr²

Where 'r' is the radius of circle

To find the area of circle

Here r = 7.13 ft

Area = πr²

= 3.14 * 7.13²

= 159.63 ft²

To find the area of smaller sector

Here central angle of sector is 50°

Area of sector = (50/360) * area of circle

= (50/360) * 159.63

= 22.17 ≈ 22.2 ft²