Question

A circle has a radius of (6x+11) centimeters. Which statement is true?

Answer 1

If a circle has a radius of $(6x + 11)$, it is true that: D. The circumference of the circle is $(12x + 22) \pi cm$

Recall the following about a circle:

• Area of a circle = $\pi r^2$

• Circumference of a circle = $2 \pi r$

If a circle has a radius of $(6x+11) cm$, the area and circumference of the circle would be the following:

• Area of a circle =  $\pi r^2$

• Substitute  $r = (6x+11)$ into the area formula

$\pi (6x + 11)^2$

• Expand

$\pi \times (6x + 11) \times (6x + 11)\\\\\pi \times(36x^2 + 66x + 66x + 121)\\\\\pi \times (36x^2 + 132x + 121)\\\\ area = (36x^2 + 132x + 121) \pi cm^2$

• Circumference of a circle = $2 \pi r$

• Substitute  $r = (6x+11)$ into the circumference formula

$2 \times \pi \times (6x + 11)\\\\Circumference = (12x + 22) \pi$

Therefore, if a circle has a radius of $(6x + 11)$, it is true that: D. The circumference of the circle is $(12x + 22) \pi cm$

Learn more here:

brainly.com/question/14772815

Answer 2

Answer:

D.The circumference of the circle is (12x+22)π centimeters.