Question

4 radians

А

2 cm

B

What is the length of the arc subtended by the angle measuring 4 radians?

A.

4 cm

B.

2 cm

C

16 cm

D

8 cm

Answer 1

D. 8 cm

Explanation:

Given :

Let the length of the arc be = l

radius of the arc, r = 2 cm

degree of angle subtended at the center by the arc, θ = 4 radian

Now we know that the angle subtended by an arc at the center of the circle whose radius is 2 cm will be,

θ = l/r

Therefore, we can write,

l = θ x r

l = 4 x 2

= 8 cm

So the length of the arc is 8 cm.