Question

The area of a circle is found using the formula A=\pi r^(2) , where r is the radius. If the area of a circle is 36π square feet, what is the radius, in feet? A. 6 B. 6π C. 18 D. 9π

Answer 1

A. 6 feet

Explanation:

`A=\pi r^2\\Area = 36\pi\\r = ?\\36\pi = \pi r^2\\Divide \:both \:sides \:of\: the \:equation\: by\: \pi\\(36\pi)/(\pi) = (\pi r^2)/(\pi) \\r^2 = 36\\Find\: the\: square\: root\: of\: both\: sides\: \\√(r^2) =√(36) \\\\r = 6\: feet\\`