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PLEASE PLEASE PLEASE HELP

LOTS OF POINTS

Find the area of the shaded segment of the circle.

PLEASE PLEASE PLEASE HELP LOTS OF POINTS Find the area of the shaded segment of the-example-1
User Notepad
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1 Answer

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Answer:

Around 55.9

Explanation:

The first step is to find the area of segment of the circle. Since the segment is a 90 degree angle and a total circle is 360, it is a quarter of the area of a circle. Therefore, you can find its area with the formula
(1)/(4)\pi r^2=49\pi. Now, you can find the area of the triangle inside. Since all of the radii in a circle are the same length, the triangle has two sides of length 14. Using the triangle area formula, you get an area of 14*14/2=98 square centimeters.
49\pi-98\approx 55.9 square centimeters. Hope this helps!