Question

a circle with the area 9 pi has a sector with a central angle of 60 degrees. what is the area of the sector?

Answer 1

The area of sector is 4.71 sq unites

Explanation:

Step 1: Area of the sector = Area of the circle × (C/360) where C is the central angle.

Area of the sector = πr²(C/360) = 9π × 60/360

= 9 × 3.14 × 1/6

= 28.26/6 = 4.71 sq units

Original answer by Bhuvna789456. I hope this helped.

Answer 2

The area of the sector is 1.5pi

Explanation:

To solve this exercise we have to know that the circle is represented with an angle of 360°

Because the circle is 360° and we have 60° , we have to divide 60 ​​by 360 to find what fraction of the circle that part represents.

60/360 = 1/6

Now we multiply this number by the total area of ​​the circle and we will obtain the area of ​​the sector that we want

9pi * 1/6 = 1.5pi

The area of the sector is 1.5pi