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Question: The degree measure corresponding to the given radian \[\left\lbrack \frac{2\pi}{15} \right\rbrack^{...

The degree measure corresponding to the given radian

[2π15]c\left\lbrack \frac{2\pi}{15} \right\rbrack^{c}

A

210

B

220

C

230

D

240

Answer

240

Explanation

Solution

We have, π radians =180o= 180^{o}

1c=[180π]o1^{c} = \left\lbrack \frac{180}{\pi} \right\rbrack^{o}; ∴ [2π15]c=[2π15×180π]o=24o\left\lbrack \frac{2\pi}{15} \right\rbrack^{c} = \left\lbrack \frac{2\pi}{15} \times \frac{180}{\pi} \right\rbrack^{o} = 24^{o}