hat 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.
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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.
Solving: Using the data
diameter = 2*radius
\(20 = 2*r\)
\(2\:r = 20\)
\(r = \dfrac{20}{2}\)
\(\boxed{r = 10\:ft}\)
Formula: (Circle length)
\(\boxed{C = 2* \pi *r}\)
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:
\(\underline{The\:exact\:circumference\:of\:the\:circle\:is\:\:20\:\pi\:ft}\)
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