Question

In terms of π,what is the length of an arc which subtends an angle of 30° at the centre of a circle of radius 3 and a half cm?

Answer 1

Heya Frnd ........... ☺

GIVEN :-

a) Angle between two radii = θ = 30°

b) Radius = r = 3 cm

Now,

$to \: find \: = \: length \: of \: arc$

So,

$length \: of \: arc \: = \: \frac{THETA}{360} \times 2 \: \pi \: r$

$= > \: \frac{30}{360} \times 2 \: \pi \: \times 3$

$= > \: \frac{6}{12} \pi$

$= > \boxed{ \frac{\pi}{2} } \: ....... \: ans$

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