Sara is crocheting two circles. The area of the larger circle is to be 2.5 times the size of the smaller. If the area of the smaller circle is about 50.2 square centimeters, what is the diameter of the larger circle?

22.2 cm

Step-by-step explanation:

First, find the area of the larger circle.

50.2 x 2.5 = 125.5

Now, we need to find the diameter of the larger circle. We have the area, so we can plug this value into the formula of the area of the circle to find the diameter.

A = pi • r^2

125.5 =3.14 •r^2

122.36 = r^2

r = 11.1

Since radius is half the diameter, multiply r by 2.

11.1 x 2 = 22.2 centimeters