An arc of a circle measures 80 degrees and has a length of [tex]88\pi \text{ cm}[/tex]. What is the diameter?
Answer (2)
If 80° ------> 88π cm Then 360° ------> x cm
So:
x = (88π x 360) ÷ 80 x = 396 π (lenght of the circle)
The relationship of Lenght of circle and its diameter is:
L = d .π
replacing L: 396 π = d.π ---->** d = 396 cm <---- here is your answer**
The diameter of the circle is 396 cm, calculated using the arc length and angle. This was done by first finding the circumference based on the given arc parameters and then using that to determine the diameter. The relationship between circumference and diameter is essential for solving this problem.
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