A circle has an area of 3.0 m².A second circle has double the radius of the first.The area of the second circle is ____ times that of the first. A)0.8 B)2.0 C)4.0 D)6.0

Question

Quizplus · Accepted Answer

We can start by using the formula for the area of a circle:

A = πr^2

For the first circle, we know that:

πr₁² = 3.0 m

For the second circle, we know that the radius is twice as large as the first circle:

r₂ = 2r₁

We can use this to find the area of the second circle:

πr₂² = π(2r₁)² = 4πr₁²

So the area of the second circle is 4 times the area of the first circle:

4πr₁² / πr₁² = 4

Therefore, the answer is C) 4.0.

A Circle Has an Area of 3