Question

Find the area of the shape?

Answer 1

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

Answer 2

`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`