Question

Question #650b3

Answer 1

See the solution process below:

Explanation:

The formula for the area of a circle is:

`A = pir^2`

Where:
`A` is the area of the circle
`r` is the radius of the circle

For this problem we need to convert `7 1/2` from a mixed fraction to an improper fraction.

We multiply the integer portion of the improper fraction by the appropriate form of `1` and add it to the fraction portion of the mixed fraction:

`7 1/2 = (2/2 xx 7) + 1/2 = 14/2 + 1/2 = (14 + 1)/2 = 15/2`

We can now substitute `15/2` for `r` in the area formula and calculate `A`:

`A = pi(15/2)^2`

`A = pi(225/4)`

`A = 225/4pi`

Or

`A = 176.715` rounded to the nearest thousandth