Question

Sarah says that you can use the area of a

circle to figure out its circumference, but
Dan does not agree. Who is correct?
Explain your thinking and provide an
example to support your answer.

Answer 1

Sarah is Correct

Explanation:

If we are given the area of a circle as 44 Square Centimeter, we know that:

Area of a Circle
`=\pi r^2`

Circumference of a Circle
`=2\pi r`

Therefore, from the area, we can obtain the value of the radius to calculate the circumference of the circle:

`\pi r^2=44\\r^2=(44)/(\pi) \\r=\sqrt{(44)/(\pi) }`

Therefore:

Circumference of the circle
`=2\pi \sqrt{(44)/(\pi) }`

=23.51 centimeters.