Answered

What is the exact circumference of the circle?


10π ft


20π ft


40π ft


60π ft

Circle with center A and diameter of 20 feet labeled.

Verified Answer :

dexteright02

Data:

Formula: diameter = 2radius

Formula: (Circle length)
\(C = 2* \pi *r\)

Solving: Using the data
diameter = 2radius
20 = 2*r
2r = 20
\(r = \frac{20}{2}\)
\(\boxed{r = 10\:ft}\)

Now, replace in the circumference length formula
\(C = 2 \pi *r\)
\(C = 2 \pi *10\)
\(\boxed{\boxed{C = 20 \pi \:ft}}\end{array}}\qquad\quad\checkmark\)

Answer:
The exact circumference of the circle is \(20 \pi \:ft\)

The exact circumference of circle A is;

Option B: 20π ft

Formula for circumference of a circle is;

C = 2πr

We are given;

Diameter; d = 20 ft

Now, radius is; r = d/2

r = 20/2

r = 10 ft

Thus;

C = 2 × π × 10

C = 20π ft

In conclusion, the exact circumference of the circle A is 20π ft.

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