Question

A circular arc has measure 8 cm and is intercepted by a central angle of 2.3 radians. Find the radius of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.

Answer 1

Answer:

3.5 cm

Step-by-step explanation:

Given the question:

A circular arc has measure 8 cm and is intercepted by a central angle of 2.3 radians. Find the radius of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.

Central angle in radian (θ) = 2.3 radian

Length of arc (s) = 8cm

Recall:

Length of arc (s) = radius (r) × central angle (θ)

8cm = radius × 2.3 rad

radius = 8 / 2.3

Radius = 3.478 cm

Radius = 3.5 cm