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harkovskaia [24]
3 years ago
5

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

Mathematics
2 answers:
PolarNik [594]3 years ago
6 0

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

<em><u>Recall the following about a </u></em><em><u>circle</u></em><em><u>:</u></em>

  • 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: <u>D. The </u><u>circumference </u><u>of the </u><u>circle </u><u>is </u>(12x + 22) \pi $ cm<u />

Learn more here:

brainly.com/question/14772815

marin [14]3 years ago
3 0

Answer:

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

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