SOLUTION: The distance around a circular park is 2.6 mi. How many acres does it contain? One square mile contains 640 acres. Round the answer to the nearest integer.

Algebra ->  Circles -> SOLUTION: The distance around a circular park is 2.6 mi. How many acres does it contain? One square mile contains 640 acres. Round the answer to the nearest integer.      Log On


   

Question 1047702: The distance around a circular park is 2.6 mi. How many acres does it contain?
One square mile contains 640 acres.
Round the answer to the nearest integer.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The distance around a circular park is 2.6mi.=>that distance equals to circumference
C+=+2pi%2Ar+=+2.6mi
Solve for r (in miles)
2pi%2Ar+=+2.6mi.........pi=3.14
r+=+2.6mi%2F%282%2A3.14%29
r+=+2.6mi%2F%286.28%29
r+=0.414mi
Area=r%5E2%2Api (in sq miles)
Area=%280.414mi%29%5E2%2A3.14
Area=0.171396mi%5E2%2A3.14
Area=0.53818344mi%5E2
Convert to acres. One square mile contains 640 acres.
640%2A0.53818344=344.4374016 acres =>344acres