Question

For a circle with a diameter of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a length of 7 3 π meters? A) 35° B) 50° C) 70° D) 140°

Answer 1

the answer is (D)

Explanation:

Answer 2

By definition, the arc length is given by:
S = R * Theta
Where,
R: radio
Theta: central angle
Substituting values we have:
(7/3) π = (6/2) * Theta
Clearing the angle we have:
Theta = (7/9) π
Rewriting the angle in degrees:
Theta = (7/9) π * (180 / π)
Theta = 140 degrees
Answer:
The measurement of a central angle (in degrees) is:
Theta = 140 degrees
D) 140 °