Find the length of subtended arc

Calculus
Tutor: None Selected Time limit: 1 Day

An angle measuring 5pi/6 radians has its vertex at the center of a circle whose radius is 7 meters. Find length of subtended arc

Jun 29th, 2015

Thank you for the opportunity to help you with your question!

The circumference of the circle is measured using the equation:
C = 2 * Pi * radius.

(where 2 * Pi is the measurement of angle expressed in radians)

The subtended arc is then the ratio of the angles, effectively:
C.arc = 2 * Pi / (5* Pi / 6 ) * radius

This can be rearranged to give:
C.arc = 12/ 5 * radius

so putting in the value for your radius of 7 meters gives the result
of 16.8m.
(c.f. full circumference measurement of 16.8m.)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 29th, 2015

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Jun 29th, 2015
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Jun 29th, 2015
Dec 5th, 2016
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