Question

Given that the area of a circle is 49π, find the circumference of this circle.

Answer 1

Answer:

The circumference of this circle  is $14\pi$

Step-by-step explanation:

The area of a circle is calculated using the following formula:

$A = \pi r ^ 2$

Where A is the area of the circle and r is the radius.

For this case we know that the area of the circle is 49π.

So:

$49\pi = \pi r ^ 2$

Now we solve the equation for r

$\pi r ^ 2 = 49\pi\\r ^ 2 = 49\\r = 7$

Also, the circumference of a circle is calculated using the following formula:

$C = 2pi r$

Where r is the radius of the circle. We know that r = 7 so we can calculate the circumference:

$C = 2 \pi(7)\\\\C = 14\pi$