Question

The circumference of a circle is 11π inches. What is the area, in square inches, of the circle? Express your answer in terms of π. a 32.25 π b 95.03 π c 30.25 π d 17.27 π

Answer 1

Answer:

30.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

11 pi = 2 * pi *r

divide each side by 2 pi

11/2 = 2 ( pi) * r/ ( 2pi)

11/2 = r

We can find the area by

A =  pi * r^2

   =  pi ( 11/2) ^2

   =  pi ( 121/4)

   = pi ( 121/4)

   = 30.25 pi

Answer 2

Answer:

$\Huge \boxed{30.25 \pi}$

Step-by-step explanation:

The circumference of a circle formula is:

$C= \pi d$

The circumference is given, solve for d.

$11\pi=\pi d$

Cancel $\pi$ from both sides.

$11=d$

The radius is half the measure of the diameter.

$\displaystyle r=\frac{11}{2} =5.5$

The area of a circle formula is:

$A=\pi r^2$

Let r = 5.5, solve for the area.

$A=\pi (5.5)^2$

$A=\pi (30.25)=30.25\pi$