Answer:
r = 44 cm
Step-by-step explanation:
The question has given us the circumference of circle O (88π cm) and asks us to calculate its radius (r).
To do this, we have to use the formula for the circumference of a circle:
[tex]\boxed{\mathrm{C = 2\pi r}}[/tex],
where:
C ⇒ circumference of the circle
r ⇒ radius of the circle.
In order to calculate the radius from this formula, we have to substitute the value given for C into the equation, and then solve for r:
[tex]88 \pi = 2\pi \times r[/tex]
⇒ [tex]r = \frac{88 \pi}{2 \pi}[/tex] [Dividing both sides of the equation by 2π]
⇒ [tex]r = \bf 44 \ cm[/tex]
Therefore, the length of the radius of the circle is 44 cm.