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The image is below please help

The image is below please help-example-1

2 Answers

2 votes

Answer:

9.4247775 un^2 (you can round it to 9.4; 9.42; or 9.425)

Explanation:

First, you want to find the area of the circle if it was whole.

You can use the equation: A=πr^2

r=2

So, A=π(2)^2 < (and you solve for a)

≈12.56637

The part of the circle which is removed has a 90 degree angle indicating that 1/4 of the circle is cut from the whole and 3/4 is left.

So, we need to find 3/4 of our whole.

3/4(12.56637) = 9.4247775

User Elie
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4.2k points
2 votes

The shape has 90 degrees missing, as indicated by the image. We need to find the fraction of the shape that is present, and find the area of that.

360 - 90 = 270

270 / 360 = 3/4

Formula for the area of a circle: A = pi x r^2

The radius given is 2 units for this circle. We'll first find the area of the whole circle, then multiply that value by 3/4 to find the area of the shape.

A = pi x 2^2

A = 3.14 x 4

A = 12.56

12.56 x (3/4) = 9.42

A = 9.42 units^2

Hope this helps!! :)

User Halfgaar
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4.2k points