Question

An arc of a circle measures 80 degrees and the length of 88pie cm. what is the diameter?

Answer 1

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