First slide

Trignometry

Question

A circular arc is of length $π cm$ . Find angle subtended by it at the centre in radian and degree.

Moderate

A

$90 °$
B

$30 °$
C

$60 °$
D

$45 °$

Solution

$θ = \frac{s}{r} = \frac{π cm}{6 cm} = \frac{π}{6} rad = 30 °$
As $1 rad = \frac{180 °}{π}$
$So, θ = \frac{π}{6} \times \frac{180 °}{π} = 30 °$

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