Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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


A. The area of the circle is (12x+11)π square centimeters.


B.The area of the circle is (12x+22)π square centimeter

C.The circumference of the circle is (12x+11)π centimeters.



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

Sagot :

Answer:

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

akposevictor

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

Recall the following about a circle:

  • Area of a circle = [tex]\pi r^2[/tex]
  • Circumference of a circle = [tex]2 \pi r[/tex]

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

  • Area of a circle =  [tex]\pi r^2[/tex]

  • Substitute  [tex]r = (6x+11)[/tex] into the area formula

[tex]\pi (6x + 11)^2[/tex]

  • Expand

[tex]\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[/tex]

  • Circumference of a circle = [tex]2 \pi r[/tex]

  • Substitute  [tex]r = (6x+11)[/tex] into the circumference formula

[tex]2 \times \pi \times (6x + 11)\\\\Circumference = (12x + 22) \pi[/tex]

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

Learn more here:

https://brainly.com/question/14772815

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.