Question #650b3

1 Answer
Mar 14, 2017

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