Question

(1) Find the length of an arc of a circle
which subtends an angle of 108° at the
centre, if the radius of the circle is 15
cm.​

Answer 1

Given : subtends an angle of 108° at the

centre, abd the radius of the circle is 15

cm.

______________________

Answer:

$: \implies \sf l = \dfrac{\theta}{360} \times 2\pi r$

$: \implies \sf l = \dfrac{108}{360} \times 2 \times \dfrac{22}{7} \times 15$

$: \implies \sf l = 0.3 \times 2 \times \dfrac{22}{7} \times 15$

$: \implies \underline{ \boxed{ \sf l = 28.28 \: cm}}$

$\therefore \underline{ \textsf {Hence,the length of the arc is 28.28 cm }}.$