Answered

What is the exact circumference of the circle?



A.
10π feet

B.
20π feet

C.
40π feet

D.
60π feet

What is the exact circumference of the circle A 10π feet B 20π feet C 40π feet D 60π feet class=


Answer :

Hello!

What is the exact circumference of the circle?

A.

10π feet  

B.

20π feet  

C.

40π feet  

D.

60π feet

Solving: Using the data  (Circle with center A and diameter of 20 feet labeled).

diameter = 2*radius

[tex]20 = 2*r[/tex]

[tex]2\:r = 20[/tex]

[tex]r = \dfrac{20}{2}[/tex]  

[tex]\boxed{r = 10\:ft}[/tex]

Formula: (Circle length)

[tex]\boxed{C = 2* \pi *r}[/tex]

Now, replace in the circumference length formula:

[tex]C = 2\:\pi *r[/tex]

[tex]C = 2\:\pi *10[/tex]

[tex]\boxed{\boxed{C = 20\:\pi\:ft}}\end{array}}\qquad\quad\checkmark[/tex]

Answer:  

B.  20π feet

[tex]\underline{The\:exact\:circumference\:of\:the\:circle\:is\:\:20\:\pi\:ft}[/tex]

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