SOLUTION: The area of a circle with radius r is given by the formula A=πr^2. If a circle has area 100π square​ inches, what is the​ radius? The radius ___ inches.

Algebra ->  Radicals -> SOLUTION: The area of a circle with radius r is given by the formula A=πr^2. If a circle has area 100π square​ inches, what is the​ radius? The radius ___ inches.      Log On


   

Question 1065332: The area of a circle with radius r is given by the formula A=πr^2. If a circle has area 100π square​ inches, what is the​ radius?
The radius ___ inches.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+A+=+%28pi%29r%5E2+
+A+=+100+=+%28pi%29r%5E2+
++100%2F%28pi%29+=+r%5E2+
+sqrt%28100%2F%28pi%29%29+=+r+
Re-writing:
+r+=+sqrt%28100%2F%28pi%29%29+=+highlight%28+10+%2F+sqrt%28pi%29+%29 inches
You can calculate a decimal using a calculator.