Question

What is the approximate sector area of a sector created by circle with a radius of 6 inches and a 200° central angle.

Answer 1

Well Pi*R^2 is the total area..so 36 Pi is the area. So 1/36 of that would be Pi.

1/36 of the circle is 10 degrees….200 degrees is twenty times that. So,Area would be 20 Pi.

Answer 2

area of sector ≈ 62.8 in²

Explanation:

the area (A) of a sector is calculated as

A = area of circle × fraction of circle

= πr² ×
`(200)/(360)` ( r is the radius )

= π × 6² ×
`(20)/(36)`

= 36π ×
`(20)/(36)` ( cancel the 36 on numerator/ denominator )

= π × 20

≈ 62.8 in² ( to 1 decimal place )