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
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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
(c.f. full circumference measurement of 16.8m.)
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