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kkurt [141]
3 years ago
9

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
Mathematics
2 answers:
BabaBlast [244]3 years ago
8 0

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

kramer3 years ago
3 0

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

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