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)