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valkas [14]
3 years ago
7

A circle has a central angle measuring startfraction 7 pi over 6 endfraction radians that intersects an arc of length 18 cm. wha

t is the length of the radius of the circle? round your answer to the nearest tenth. use 3.14 for pi. 3.7 cm 4.9 cm 14.3 cm 15.4 cm
Mathematics
1 answer:
Savatey [412]3 years ago
3 0

The length of the radius of the circle with a central angle measuring 7pi/6 is 4.9cm

<h3>How to calculate the length of aan arc?</h3>

The formula for calculating the legnth of an arc is expressed as:

L = rtheta

r is the radius

Theta is the subtended angle

Given the following

18 = r(7pi/6)
7pi r = 18 * 6

7pi r = 108
r = 108/7pi

r = 4.9cm

Hence the length of the radius of the circle with a central angle measuring 7pi/6 is 4.9cm

Learn more on length of an arc here: brainly.com/question/2005046

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