Answer:
44 cm
Step-by-step explanation:
The circumference formula is:
C = 2πr
We are given the circumference of circle O, so we substitute C with the given circumference and solve for r.
88π cm = 2πr
Switch sides:
2πr = 88π cm
Divide both sides by 2π:
[tex] r = \dfrac{88\pi}{2\pi} cm [/tex]
r = 44 cm
You can use formula for circumference of circle to find the radius of specified circle.
The radius of the given circle is 44 cm.
The circumference of the circle = 88π cm
[tex]\rm Circumference = 2 \pi r[/tex], where r is the radius of circle.
Since circumference of the circle is already given to us, we can evaluate the length of the radius by equating it to the formula of circumference.
Thus,
[tex]2\pi r = 88\pi \\\\r = \dfrac{88\pi}{2\pi}\\\\r = 44 \: \rm cm[/tex]
Thus, the radius of given circle is 44 cm.
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