Answer:396
Step-by-step explanation:Arc length = radius * angle in radians
you know radius = Diameter/2 = D/2
80 deg = (80pi/180) rad
then,
88 pi = (D/2) * (80 pi /180)
sloving for D
D = 396
The diameter of the circle which measures is 80° and length arc is 88π is 396
length of arc = ∅ / 360 × 2πr
where
r = radius
∅ = centre angle = 80°
length of arc = 80 / 360 ×2πr
length of arc = 88π
Therefore,
88π = 16 / 36 πr
cross multiply
88π × 36 = 16πr
3168π = 16πr
divide both sides by 16π
198 = r
Recall
diameter = 2(radius)
Therefore,
diameter of the circle = 2 × 198
diameter of the circle = 396
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