Question

the formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved for r is r = . Find the radius of a circle that has a circumference of 16.

Answer 1

According to the question, (π⋅r2)/2=2πr, where r is the radius of the circle. Since the question asks for the diameter of the circle, solve for r: divide both sides of theequation by πr get r/2=2, or r=4. Therefore, the diameter is 2r=8. An inscribed or peripheral angle originates from the circumference.    

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Answer 2

Answer:

The value of the radius is $r=8\ units$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

where

r is the radius of the circle

Solve for the radius

$r=\frac{C}{2\pi}$

In this problem we have

$C=16\pi\ units$

Substitute and solve for r

$r=\frac{16\pi}{2\pi}=8\ units$

The value of the radius is $r=8\ units$