Question

The circumference of a circle is 16π inches. Show how you can use this information to calculate the same circle’s area.

Answer 1

The equation used to find the area of a circle is $\pi$×radius²=A

The equation used to find the circumference of a circle is $\pi$×diameter=circumfrence 

1) You will need your diameter and radius in order to find the area of the circle. In this case, working backward will help.

2) Set your circumference equation equal to 16$\pi$ and solve for diameter by dividing by $\pi$ on the left and right sides. 

3) From this, you will find that your diameter equals 16in.


4) Half of a circles diameter is the radius so divide 16in (diameter) by 2 to find the radius. This will come out to be 8in.

5) Now that you know the radius, you can plug in the radius to the area of a circle equation to find the area of the circle: $\pi$×(8)²

6) $\pi$×(8)²= 201.06in²=A

-E :)

Answer 2

Hello!

In this situation, we know that the circumference is 16π. The formula for circumference is C=Dπ. This tells us that our diameter equals 16 inches.

To find the area, we multiply the radius squared by pi (we will use 3.14.) The radius is half of the diameter, and as we know that it is 16, our radius would be eight. Eight squared is 64. If we multiply 64 by pi, we get 200.96 inches as our area.

I hope this helps!