The circumference of a circle is 53.38 centimeters. what is the area in square centimeters? use 3.14 for /pi

The circumference of a circle is given by  where C is the circumference and d is the length of the diameter.

We are told the circumference is 53.38 and to use 3.14 for pi. Substituting these into the equation above we get: . Dividing 53.38 by 3.14 will give us the diameter which is approximately 18.5923.

The diameter is the distance from, a point on the circle through the center and to another point on the circle. It is twice the radius. So if we divide 18.5923 by 2 we get the radius which is 9.29617.

The area of a circle is given by . Since we have the radius we can substitute into the equation to obtain 

That is, the area is approximately 271.35 square centimeters.

I am not sure how many decimal places you have been asked to round to, but since you did 2 for the digits of pi, I went with two in the answer. Note that along the way you need to carry it out to more than two to avoid something called rounding error.

The correct answer is $90