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

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

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=(C)/(2\pi)`

In this problem we have

`C=16\pi\ units`

Substitute and solve for r

`r=(16\pi)/(2\pi)=8\ units`

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