If the radius of a circle with an area of 11.5 inches squared is multiplied by 6, what is the area of the new circle?

69 in squared

207 in squared

216.66 in squared

414 in squared

The correct answer is D. 414 in squared.

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Area of the first circle = 11.5 inches ²

2. Let's calculate the area of the new circle, given that the radius of the first circle is multiplied by 6.

Area of the first circle = 11.5 inches ²

Let's find the radius:

π * r² = 11.5

r² = 11.5 / 3.1416

r² = 3.66055513

r = 1.91 inches

The first circle has a radius of 1.91 inches

So, the radius of the second circle is 1.91 * 6 = 11.48 inches

Area of the second circle = π * r²

Area of the second circle = 3.1416 * 11.48²

Area of the second circle = 3.1416 * 131.79

Area of the second circle = 414.03 inches ²

Area of the second circle = 414 inches ² (Rounded to the nearest whole number)

The correct answer is D. 414 in squared.