The area of a circle is 7 in.². If the radius of the circle is quadrupled, what will be the area of the circle?

112 in^2

Step-by-step explanation:

The equation to calculate the area of a circle is A=πr^2. We can solve for the radius of the circle by:

1) plugging in our known value, A=7. So 7=πr^2

2) dividing both sides by π.

7/π=r^2

3) square rooting both sides.

Sqrt (7/π) = r

Plug that into a calculator and you get about 1.4927

Now we multiply that by 4, giving us our new radius of about 5.9708

Plugging that number back into the equation A=πr^2 as r will give us 112.