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 [tex]C= \pi d[/tex] 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: [tex]53.38= (3.14)d[/tex]. 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 [tex]A= \pi r^{2} [/tex]. Since we have the radius we can substitute into the equation to obtain [tex]A=(3.14)(9.29617) ^{2}=271.354958 [/tex]

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.