Answer:
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.
