MathematicsIn a circle of radius 35 cm, an arc subtends an angle of 60∘at the centre then find out the length of the arc.

In a circle of radius 35 cm, an arc subtends an angle of $60^{\circ}$ at the centre then find out the length of the arc.

It is given that,
Radius of a circle

= 35 cm

And
Angle

= 60 °

We know that,
Arc length =

\frac{θ}{360} \times 2 πr

\Rightarrow Arc length = \frac{60}{360} \times 2 \times \frac{22}{7} \times 35

\Rightarrow Arc length = \frac{1}{6} \times 2 \times 22 \times 5

\Rightarrow Arc length = 36.67 cm .

Hence, option (1) is correct.

JEE