Question

Find the area of a circle with a circumference of 37.67 units

Answer 1

The circumference of a circle is pi x diameter. Therefore, we can use this in reverse order as well.

I’ll be using 3.14 as pi, but if you need a more exact answer you can always use the pi function on a calculator.

37.68/3.14 = 12

Therefore, the diameter must be 12.

Since the radius is half the diameter, we can divide by 2 to find the radius.

12/2 = 6

Therefore, the radius of our circle is 6.

The area of a circle is equal to pi x radius squared.

Since we know our radius, we can solve.

Using PEMDAS, we know to use exponents first, so 6 squared is equal to 36.

From there, we can multiply.

36 x 3.14 = 113.04

And there we have your answer! 113.04 is the area of the circle.

Hope this helped :)

Answer 2

112.91 units squared

Explanation:

The formula for the circumference is
`\pi* diametre`

The formula for the area of the circle is
`\pi *radius^(2)`

To work this out you would first divide the circumference of 37.68 by pi to work out the diameter,which gives you 11.99. This is because the formula for the circumference is pi * diameter and so by dividing by pi it will leave you with the diameter. Then you would divide the diameter of 11.99 by 2, which gives you 5.995. This is because now you are left with the radius. Then you would multiply pi by the radius of 5.995 squared, which gives you 112.91.

1) Divide 37.68 by pi.

`37.68/\pi =11.99`

2) Divide 11.99 by 2.

`11.99/2=5.995`

3) Multiply pi by 5.995 squared.

`\pi *5.995^(2) =112.91`