Question

In a circle with a radius of 4.6, an angle measuring 5.4 radians intercepts an arc. What is the length of the arc to the nearest tenth?

A) 8.7
B) 24.8
C) 35.8
D) 41.2

Answer 1

To find the length of the arc intercepted by an angle of 5.4 radians in a circle with a radius of 4.6, we can use the formula Arc Length = Radius x Angle. Plugging in the values, we get Arc Length ≈ 24.8 units. Therefore, the length of the arc to the nearest tenth is 24.8 (B).

Step-by-step explanation:

To find the length of the arc intercepted by an angle of 5.4 radians in a circle with a radius of 4.6, we can use the formula:

Arc Length = Radius x Angle

Plugging in the values, we get:

Arc Length = 4.6 x 5.4

Arc Length ≈ 24.8 units

Therefore, the length of the arc to the nearest tenth is 24.8 (B)