Question

Angle B has a measure of 2.5 radians. A circle with a radius length of 2.6 cm is centered at Angle B's vertex. What is the length of the subtended arc along this circle?

______ cm​

Answer 1

9514 1404 393

Answer:

6.5 cm

Explanation:

The length (s) of an arc of a circle of radius r and angle θ is ...

s = rθ . . . . where θ is in radians

For your values, the arc length is ...

s = (2.6 cm)(2.5 radians) = 6.5 cm

The length of the subtended arc is 6.5 cm.