breyaja3 breyaja3
  • 25-11-2020
  • Mathematics
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Find the length of the arc on a circle with a radius of 7 centimeters and a central angle of 74 degrees

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s300014154 s300014154
  • 25-11-2020

Answer:

Length of arc: 9.04cm

Step-by-step explanation:

Circumference = pi x diameter (or radius times 2 in this case)

C = pi x (7 x 2)

C = pi x 14

C is equal to around 43.98cm

In order to find the length of the arc, you use the central angle and turn it into a fraction, and then multiply that fraction by the circumference.

74 degree angle/ 360 degrees --> 74/360

74/360 x 43.98 = 9.04cm

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