Question

There is a circular garden in the middle of a square yard. The radius of the circle is 4x. The side length of the yard is 20x. What is the area of the part of the yard that is not covered by the circle?

(1 point)
Responses

4x(5)
4 x (5)

8x2(5 – symbol pi)
8 x 2 (5 – Image with alt text: symbol pi )

16x(25 + symbol pi)
16 x (25 + Image with alt text: symbol pi )

16x2(25 – symbol pi)

Answer 1

[AI-generated answer — Bot GPT 3.5]

C. 16x^2(25 - π)

To find the area of the part of the yard that is not covered by the circle, we first need to find the area of the circle and then subtract that from the area of the square yard.

Area of the circle = πr^2 = π(4x)^2 = 16πx^2
Area of the square yard = (20x)^2 = 400x^2

Area not covered by the circle = Area of yard - Area of circle
= 400x^2 - 16πx^2
= (400 - 16π)x^2
= 16x^2(25 - π)

Therefore, the correct response is 16x^2(25 - π).