Question

Find the area of the shape.

Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.

Answer 1

`\pi` or 3.14

Explanation:

The formula for the area of a circle is
`\pi r^2`

If this quarter circle were to be a full circle, the area would be
`4\pi`

Since this is a quarter circle as the angle is 90 degrees (which is a quarter of 360), the area of this shape is
`\pi`.

Answer 2

A = pi

= 3.14

Explanation:

We have 1/4 of a circle

The area of a circle is given by pi r^2

The area of this quarter circle is

A = 1/4 pi r^2

The radius is 2

A = 1/4 pi (2)^2

A = 1/4 pi (4)

A = pi

We can use 3.14 for pi

A = 3.14