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 squared207 in squared216.66 in squared414 in squared

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 ²2. 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 ²Let's find the radius:π * r² = 11.5r² = 11.5 / 3.1416r² = 3.66055513r = 1.91 inchesThe first circle has a radius of 1.91 inchesSo, the radius of the second circle is 1.91 * 6 = 11.48 inchesArea of the second circle = π * r²Area of the second circle = 3.1416 * 11.48²Area of the second circle = 3.1416 * 131.79Area of the second circle = 414.03 inches ²Area of the second circle = 414 inches ² (Rounded to the nearest whole number)The correct answer is D. 414 in squared.