A circle has area of 36pi36π ft^2ft2. What is the circumference of the circle?

2 Answers
Apr 8, 2016

12pi12π

Explanation:

The formula for the area of a circle is pir^2πr2 so in this case pir^2 = 36piπr2=36π
:.r^2 = 36
r=6

The circumference of a circle is given by 2pir so the circumference is 2pi6 = 12pi

Apr 9, 2016

12pi

Explanation:

Remember

color(brown)(pi=22/7

Area of circle =pir^2

Where r is the radius of the circle

So,

rarr36pi=pir^2

Cancel pi both sides

rarr36cancelpi=cancelpir^2

rarr36=r^2

rarrsqrt36=r

rarrr=6

Now we need to find the circumference of circle

Circumference of circle=2pir

Substitute the value of r

rarr2pi6

color(green)(rArr12pi