Question

Find the area of the circle. Leave your answer in terms of pi.

Answer options:
16pi yd2
2pi yd2
4pi yd2
8pi yd2

Answer 1

`A=4\pi {yd}^(2)`

EXPLANATION

The area of a circle is calculated using the formula,

`A=\pi \: {r}^(2)`

The given circle has diameter which is 4 yards.

We divide the diameter into 2, to get the radius.

`r = (4)/(2) = 2yd`

We substitute the radius to obtain,

`A=\pi( {2}^(2) )`

This gives us,

`A=4\pi {yd}^(2)`

Answer 2

The correct answer is 4pi yd²

Explanation:

The area of a circle is calculated using the formula A=πr², where A is area and r is radius of the circle. We obtain the radius of the circle by dividing the length of the diameter by 2, thus, the radius of the circle in the question is 4yd/2=2yd

substituting for the values we get, A= π×(2yd)²

A=4π yd²