Question

The radius of a circle is 36 cm. A second circle has a radius of

6 cm. What is the ratio of the area of the larger circle to the area
of the smaller circle?

Answer 1

36 : 1

Explanation:

Hello!

Let's find the area of each circle in it's exact value, and then compare it.

Circle 1

• A = πr²
• A = π(36)²
• A = 1296π

Circle 2

• A = πr²
• A = π(6)²
• A = 36π

Since the values of pi are equal , we can compare the ratio of 1296 and 36.

Compare

• 1296 : 36

• 36:1

The ratio is 36:1.