Question

The radius of a circle with an area of 60 square centimeters is represented by the expression StartRoot StartFraction 60 Over pi EndFraction centimeters. What is another way of expressing the radius?

2 StartRoot 15 pi EndRoot

4 StartRoot 5 pi EndRoot

StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFraction

StartFraction 4 StartRoot 5 pi EndRoot Over pi EndFraction

Answer 1

Answer:c

Explanation:

Answer 2

The third one is the correct, we can rewrite r = sqrt(60/pi) as r = 2*sqrt(15/pi).

Explanation:

The area of a circle is given by the following formula:

area = pi*r²

Therefore the radius of a circle in function of it's area is given by the following:

pi*r² = area

r² = area/pi

r = sqrt(area/pi)

In this problem we have a circle with an area of 60 square centimeters, therefore the radius is expressed by:

r = sqrt(60/pi)

We can rewrite 60 as 4*15, so we have:

r = sqrt(4*5/pi)

Since sqrt(4) = 2, we can rewrite it as:

r = 2*sqrt(5/pi)

Therefore the write expression is the third one.