What is the length of the arc of a circle of radius 30 cm. which subtends an angle (π/6) at the centre ?

Question

What is the length of the arc of a circle of radius 30 cm. which subtends an angle (π/6) at the centre ? (A) 11.7 cm (B) 14.7 cm (C) 16.7 cm (D) 15.7 cm

Tardigrade Admin · Accepted Answer

Here, θ=(π/6), r=30 cm As θ=(l/r) ⇒ l=θ r=(π/6) × 30 cm =(3.14/6) × 30 cm=15.7 cm

Q. What is the length of the arc of a circle of radius $30 c m$ . which subtends an angle $\frac{π}{6}$ at the centre ?

$11.7 c m$

$14.7 c m$

$16.7 c m$

$15.7 c m$

Here, $θ = \frac{π}{6}$ , $r = 30 c m$
As $θ = \frac{l}{r}$
$\Rightarrow l = θ r = \frac{π}{6} \times 30 c m$
$= \frac{3.14}{6} \times 30 c m = 15.7 c m$

Q. What is the length of the arc of a circle of radius 30cm. which subtends an angle 6π​ at the centre ?

11.7cm

14.7cm

16.7cm

15.7cm