Question

Find the angle subtended at the centre of a circle by an arc where the radius

is 5.5 m and length of arc is 6.05 m.

Answer 1

Answer:63°

Step-by-step explanation:

Given:

Radius of the circle, r = 5.5 m

Length of the arc, l = 6.05 m

We have to find the angle subtended at the centre of the circle (θ).

Now,

Length of the arc, l = θ360×2πr

⇒6.05 = θ360×2×227×5.5

⇒θ=360×6.05×722×2×5.5⇒θ=63°

Thus, the arc subtends an angle of 63° at the centre.