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kolbaska11 [484]
3 years ago
6

In a circle with a radius of 3635 cm, an arc is intercepted by a central angle of 2π7 radians. What is the arc length? Use 3.14

for π and round your final answer to the nearest hundredth.
Mathematics
1 answer:
Romashka [77]3 years ago
4 0
The arc length will be found using the formula:
C=θ/360πd
θ=2/7π=2/7*180=51 3/7°
d=2r=2×3635=7270 cm
hence the arc length will be:
C=(51 3/7)/360×π×7270
C=(1038+4/7)π cm
C=3,262.78 cm (to the nearest hundreth)

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