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Find the area of the shape?

Find the area of the shape?-example-1

2 Answers

4 votes

Answer:

12 pi

Explanation:

First find the area of full circle

A = pi r^2 where r is the radius

A = pi (4)^2

A = 16 pi

This is 3/4 of a circle so multiply the area by the fraction of a circle

3/4*16pi = 12 pi

User Csf
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5.2k points
2 votes

Answer:


12\pi or 37.70 (rounded)

Explanation:

To work this out you would first need to work out the area of this circle. You can do this by multiplying pi by the radius of 4 squared, this gives you 50.27 or
16\pi.

Then in order to work out the area of this part of the circle you would have to divide the area 50.27 or 16pi by 4, this gives you 4 pi or 12.57. This is because the angle of the missing part is 90 degrees or a right angle, and because 360 divided by 4 is 90 this meant that the question is asking to work out
(3)/(4)of a circle and so by dividing it by 4 we are working out the area of one quadrant.

Then the final step is to multiply 4 pi or 12.57 by 3, this gives you 12
\pi and 37.70.

1) Multiply pi by 4 squared.


\pi*4^(2) =16\pi or 50.27

2) Divide 50.27 by 4.


16\pi or 50.27 /4=4\pi or 12.57

3) Multiply 12.57 by 3.


12.57*3=12\pi or 37.70

User MaGz
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5.5k points