SOLUTION: The area of a circle is 16pi Square feet. Find the radius of the circle.

Question 189850This question is from textbook Algebra 1 An Incremental Development
: The area of a circle is 16pi Square feet. Find the radius of the circle. This question is from textbook Algebra 1 An Incremental Development

Found 3 solutions by jim_thompson5910, nerdybill, solver91311:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the area of a circle formula

Plug in the given area

Divide both sides by (which cancels out)

Simplify

Take the square root of both sides (we're only considering the positive square root)

Rearrange the terms.

So the radius is 4 feet
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
The area of a circle is 16pi Square feet. Find the radius of the circle.
.
Since the formula for the area of a circle is:
(pi)r^2
.
we have:
(pi)r^2 = 16(pi)
dividing both sides by pi:
r^2 = 16
taking the square root of both sides:
r = 4 feet

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

The area of a circle is given by:

Solving for r

Divide both sides by π

Take the positive square root:

Now just substitute your given value for the area and do the arithmetic.

John

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