Question

40 pts!

Find the area of the purple sector of the circle with a given radius of 5 units.
Use pi = 3.14 and round to the nearest hundredth.

Answer 1

13.08

Explanation:

First find the area of the circle

A = pi r^2

A = 3.14 * 5^2

A =3.14 *25

A =78.5

The angle of the purple sector is 60 degrees

A full circle is 360 degrees

The fraction of the circle that is purple is 60/360 = 1/6

Multiply the area of the circle by 1/6

1/6* 78.5 =13.0833333

Rounding to the nearest hundredth

13.08

Answer 2

given

radius [r]=5units

area of purple sector :=60/360×πr²=1/6×π×5²=13.08unit squared