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

Question

kolbaska11 [484]

2 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] · Answer 1 · 2022-05-27T01:23:10+03:00

Romashka [77]2 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)