Question

A circle has an area of 225pi square inches. if the radius of the circle is multiplied by 6, then what is the area of the new circle formed

Answer 1

`8100\pi in^2`

Explanation:

The formula for a circle's area is
`A=\pi r^(2)`

The area of the given circle is left in terms of pi, so we only find the square root of 225.

`√(225)=15`

Multiply 15 by 6.

`15*6=90`

The radius of the new circle is 90.

Now find the area of the new circle using the formula.

`A=\pi r^2\\A=\pi *(90)^2\\A=8100\pi`