Question

A central angle θ in a circle of radius 5 m is subtended by an arc of length 6 m.

Answer 1

Answer:

θ=1.2 rad=68.7549°

Step-by-step explanation:

Given

• Circle of radius 5
• Arc of length 6 subtends angle of θ

$\text{Arc Length}=\text{Radius}\times \text{Angle Subtented(in rad)}$

⇒

$6= 5\times \text{O}$

θ$=\frac{6}{5} =1.2rad$

Therefore θ=1.2 rad

(π rad= 180°)

Therefore 1.2 rad= 68.7549°