Question

Circle A has a radius of 3 pi. Circle B has a radius of 12 pi. Determine the ratio of the circumferences. Write answer as a fraction

Answer 1

Answer:

The ratio of Circumference of circle A to B =  $1:2$

Step-by-step explanation:

Circumference of a circle = $2\pi r$

Circumference of circle:A

$radius=3\pi$

Circumference(A):

                         $=2*\pi *(3\pi )\\\\=6\pi *\pi \\\\=6\pi ^2$

Circumference of circle:B

$radius=12\pi$

Circumference:

           $=2*\pi *(12\pi )\\\\=24\pi *\pi \\\\=24\pi ^2$

Ratio of Circumference of Circle:A to Circle:B

    $=\frac{6\pi^2 }{12\pi^2 }\\\\=\frac{1}{2}$

The ratio of Circumference of circle A to B =  $1:2$