Question

Find the diameter of a circle with an area of 615.75 square centimeters

Answer 1

Area of a circle formula:

$A = \pi r^{2}$

You're given that A = 615.75, so:

$615.75 = \pi r^{2}$

Solve for r:

$r = \sqrt{(615.75/ \pi )} r = 14 cm$

Diameter is equal to twice the radius, so doubling 14 gives you
$d = 28cm$

Answer 2

The diameter of the circle which has an area of 615.75 square centimeters is 28 centimeters.

What is the area of the circle?

The area of the circle is the space occupied by it. It can be given as,

$A=\dfrac{\pi d^2}{4}$

Here, (d) is the diameter of the circle.

The area of the circle is 615.75 square centimeters. Put this value of area in the above formula to find the diameter of the circle as,783.99

$615.75=\dfrac{\pi d^2}{4}$

Rewrite the equation as,

$d^2=\dfrac{615.75\times4}{\pi}\\d=\sqrt{784}\\d=28\rm\; cm$

Thus, the diameter of the circle which has an area of 615.75 square centimeters is 28 centimeters.

Learn more about the area of the circle here;

https://brainly.com/question/402655

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