2 Answers

Tharunkumar Reddy · Answer 1 · 2020-09-27T01:01:27+0000

Answer:

7.1π

Explanation:

Calculate what part of the angle 360° is the given center angle 40°.

(40)/(360)=(1)/(9)

The same part of the area of the circle is the given sector.

The formula of an area of a circle:

$A=\pi r^2$

r - radius

We have r = 8.

The area of a circle:

$A_O=\pi(8^2)=64\pi$

The area of the sector:

$A=(1)/(9)A_O\to A=(1)/(9)(64\pi)=(64)/(9)\pi\approx7.1\pi$

Atin · Answer 2 · 2020-09-28T13:11:49+0000

The formula to find the area of a sector is:

A =
$(degree)/(360) \pi r^(2)$

In this case:

Degree = 40

Radius = 8

^^^Plug these numbers into the formula given above

A =
$(40)/(360) \pi 8^(2)$

Solve

A =
(1)/(9) π8²

A =
(1)/(9) π64

A =
$(64)/(9)\pi$

A = 7.1111111π

When rounded:

7.1π is the area of the sector

Hope this helped!

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