Question

Find the area of the shape.
Either enter an exact answer in terms of r or use 3.14 for and enter your answer as a decimal.​

Answer 1

Answer:

3.14 or

$\pi$

Step-by-step explanation:

First, we need to know the equation for the area of a circle:

$\pi {r}^{2}$

= Area of a circle

We can plug in the radius and then solve.

It can be worked out like this:

A = pi r^2

A = pi (2)^2

A = pi (4)

But since the figure in the picture is cut into 1/4 of the size of a full circle, we need to divide what we got by 4. We know the figure is 1/4 of a circle because of the right angle marker in the center. That means it measure 90 degrees, which is 1/4 of 360 degrees, the measure of a full circle.

A = pi (4)

———— (this is supposed to be a division sign)

4

This will cause the 4 on the top and the 4 on the bottom to cancel out, so we are left with only pi.

Your question says you can either use pi or 3.14 for pi, so that means your answer is either 3.14 or pi. By the way, when I use pi I mean the symbol:

$\pi$

It's just simpler to type out pi instead of using the equation builder each time.