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

Respuesta :

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

How to calculate the length of aan arc?

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: https://brainly.com/question/2005046

Answer:

B or 4.9cm

Step-by-step explanation: