Question

The area of this circle is 84π m^2 what is the area of a 30 sector of this circle?

Answer 1

`7 {m}^(2)`

Step-by-step explanation

If the area of the circle is 84π m² , then the area of a 30° sector is just a proportion of the full circle.

The area of the 30° sector is

`(30)/(360) * 84\pi \: {m}^(2)`

`= (1)/(12) * 84 {m}^(2)`

`= 7 {m}^(2)`

Hence the area of the 30° sector of this circle is

`7 {m}^(2)`