Convert the following angles into degree. i) $\dfrac{7\pi}{12}^{c}$ ii) $\dfrac{-5\pi}{3}^{c}$ iii) $5^{c}$ iv) $\dfrac{11\pi}{18}^{c}$ v) $\dfrac{-1}{4}^{c}$

Convert the following angles into degree. i) (7π)/(12)c ii) (-5π)/(3)c iii) 5c iv) (11π)/(18)c v) (-1)/(4)c

Exercise 1.1 · Q4

Q. Convert the following angles into degree.

\dfrac{7\pi}{12}^{c}

ii)

\dfrac{-5\pi}{3}^{c}

iii)

5^{c}

iv)

\dfrac{11\pi}{18}^{c}

\dfrac{-1}{4}^{c}

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Step 1: Use $\theta^{c} = \theta\times\frac{180}{\pi}$ degree.

i) $\frac{7\pi}{12}\times\frac{180}{\pi} = 7\times15 = 105°$ .

ii) $-\frac{5\pi}{3}\times\frac{180}{\pi} = -5\times60 = -300°$ .

iii) $5\times\frac{180}{\pi} = \frac{900}{\pi} \approx 286.479°$ . Converting the decimal part: $0.479\times60\approx28.7' \Rightarrow 0.7\times60\approx44''$ , so $\approx286°28'44''$ .

iv) $\frac{11\pi}{18}\times\frac{180}{\pi} = 11\times10 = 110°$ . …

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Q.Convert the following angles into degree.

Concept understanding — Relation Between Degree and Radian Measure

Q.Convert the following angles into degree.

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