A circle has an area of 2.0 m².A second circle has triple the radius of the first.The area of the second circle is _____ times that of the first. A) 27 B) 9.0 C) 3.0 D) 0.67

Question

Quizplus · Accepted Answer

The area of the first circle can be found using the formula A=πr^2.

2.0 = πr^2

r^2 = 2.0/π

r = √(2.0/π)

The second circle has triple the radius, so its radius is 3√(2.0/π).

The area of the second circle can be found using the same formula:

A = π(3√(2.0/π))^2

A = 27π(2.0/π)

A = 54

The area of the second circle is 54 times that of the first:

54/2.0 = 27

A Circle Has an Area of 2