Question

Find the area of the shape?

Answer 1

Answer:

12 pi

Step-by-step 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

Answer:

$12\pi$ or 37.70 (rounded)

Step-by-step 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 $\frac{3}{4}$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.

$12.57*3=12\pi or 37.70$