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I need help, please show me the work and explain, I'm giving 50 points.

I need help, please show me the work and explain, I'm giving 50 points.-example-1

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Answer:

Area_sector = 9.8 square inches

Explanation:

A sector is a piece of a circle. Like a pie slice. We can use the angle given to find out what fraction of the circle we are looking for.

There are 360° in a circle. The sector is 125°. So the fraction of the circle we are looking for is (125/360) Of course this can be reduced, but we should just let the calculator handle it.

Now, the area of the whole circle is:

A = pi•r^2

A = pi • 3^2

The radius is given. r = 3

A = 9pi

They said to use 3.14 for pi

A = 28.26

This is the area of the whole circle, so we need to multiply by that fraction to find the area of the pie slice (sector)

Area_sector =

(125/360)28.26

= (0.3472222)28.26

= 9.8125

Round to the nearest tenth.

~= 9.8

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