Question

Line segment C D is a radius with length 18 centimeters. Which statements are true regarding the area of circle D? Select two options. The area of the circle depends on the square of the radius. The area of circle D is 36Pi centimeters squared. The area of circle D is 324Pi centimeters squared The area of the circle depends on the square of pi. The area of the circle depends on the central angle.

Answer 1

Answer:

The following statements are true regarding the area of the circle D:

1. The area of the circle depends on the square of the radius. (See the step by step explanation below).

2. The area of circle D is 324Pi centimeters squared. (See the step by step explanation below).

Step-by-step explanation:

1. Notes from the question:

- Line segment CD = radius of circle D = 18 centimeters length

The formula for finding the area of a circle = Pi x radius squared

Pi value = 3.142 (approximately)

Therefore the area of the circle D = Pi x radius squared = Pi x (18 x 18)  centimeters squared = Pi x (324) centimeters squared = 324 Pi centimeters squared.

Therefore, because Area of circle = Pi x radius squared, the area of the circle depends on the radius of the circle. Which asserts the first answer (that the area of the circle depends on the square of the radius).

The explanation of the workings of the second answer of the area of circle D being 324Pi centimeters squared is as shown above.