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Eddi Din [679]
4 years ago
11

A water sprinkler rotates in a circular pattern witha radius of 8 feet. if the sprinkler stops 60 degrees short of completing th

e circular patterns, which is closest to the distance of the outer are that is not getting sprinkled with water
a.4.19 ft
b.8.37ft
c.41.87ft
d.50.24ft
Mathematics
1 answer:
Molodets [167]4 years ago
4 0

Answer:

B. 8.37 ft

Step-by-step explanation:

⇒This question is on circumference

⇒The water sprinkler covers a circular pattern as it moves to cover 300° and remain with 60° to cover so as to complete a single circular pattern.

⇒The remaining distance asked is the one represented by 60°

⇒Apply the formula for circumference of a circle with angle theta

c=2\pi r\alpha/360   where alpha is the angle in degrees

Given that r=8ft and ∝=60°

c=3.14×2×8×60°/360°

c=8.37 ft

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