If the circumference of the circle in terms of π is:

4x + 8
_______ π cm then find its radius.

5x + 1

Thank You:))

C = 2πr

(4x+8)/(5x+1) π = 2πr
divide by 2π
(4x + 8)/(10x + 2) = r

or, equivalently, since the numerator is 2(2x+4)

r = (2x+4)/(5x+1)

To find the radius of a circle given its circumference in terms of π, we need to use the formula:

C = 2πr

where C is the circumference and r is the radius.

From the given information, we have:

C = (4x + 8) / (5x + 1)π

To find the radius, let's rearrange the formula:

C = 2πr

Divide both sides of the equation by 2π:

C / (2π) = r

Substitute the given circumference formula into the equation:

(4x + 8) / (5x + 1)π / (2π) = r

Simplify the expression:

(4x + 8) / (10x + 2) = r

Therefore, the radius of the circle is:

r = (4x + 8) / (10x + 2)