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Find radian measure corresponding to the degree measure - {37^

Question

Find radian measure corresponding to the degree measure $- 3 7^{\circ} 3 0^{'}$

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Scarlett Discussed

Find radian measure corresponding to the degree measure

- 3 7^{\circ} 3 0^{'}

15 mins ago

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Text solutionVerified

∵ 1° = 6 0^{'} \Rightarrow 3 0^{'} = (30 \times \frac{1}{60})^{o}

= 0. 5^{o}

So,

3 7^{o} 3 0^{'} = 3 7^{o} + 0. 5^{o} = 37. 5^{o}

∵

1^{o} = \frac{π}{180}

radian

∴

37. 5^{o} = 37.5 \times \frac{π}{180}

radian

= \frac{37.5}{180} π

radian

= \frac{5}{24} π

radian.

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Question Text	Find radian measure corresponding to the degree measure $- 3 7^{\circ} 3 0^{'}$
Answer Type	Text solution:1
Upvotes	150