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Find the arc length of a central angle of 7pi/3 in a circle whose radius is 3 inches

Find the arc length of a central angle of 7pi/3 in a circle whose radius is 3 inches
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Find the arc length of a central angle of 7pi/3 in a circle whose radius is 3 inches

User Niv Apo
by
7.7k points

1 Answer

3 votes
we know that
circumference=2*pi*r
for r=3 in
circumference=2*pi*3------> 18.84 in

if 2*pi radians (full circle) has a length of--------> 18.84 in
7*pi/3 radians-----------------> x
x=7*pi/3*18.84/(2*pi)-------> x=21.98 in

the answer is
21.98 in
User Saeed Eivazi
by
8.0k points
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