Question

express the following degree measures into radian measures degree.315°,5°,-47°30',20°40'.​

Answer 1

SOLUTION

TO DETERMINE

Express the following degree measures into radian measures degree 315° , 5° , -47°30' , 20°40'

EVALUATION

ANSWER TO QUESTION : 1

Here the given angle is 315°

The measure in radian

$\displaystyle \sf{ = \frac{315\pi}{180} }$

$\displaystyle \sf{ = \frac{7\pi}{4} }$

ANSWER TO QUESTION : 2

Here the given angle is 5°

So the measure in radian

$\displaystyle \sf{ = \frac{5\pi}{180} }$

$\displaystyle \sf{ = \frac{\pi}{36} }$

ANSWER TO QUESTION : 3

Here the given angle is -47°30'

-47°30'

= - 47.5°

So the measure in radian

$\displaystyle \sf{ = - \frac{47.5\pi}{180} }$

$\displaystyle \sf{ = - \frac{95\pi}{ 2\times 180} }$

$\displaystyle \sf{ = - \frac{19\pi}{ 72} }$

ANSWER TO QUESTION : 4

Here the given angle is 20°40'

Now 20°40'

$\displaystyle \sf{ = \bigg({20 + \frac{40}{60} \bigg)}^{ \circ} }$

$\displaystyle \sf{ = \bigg({20 + \frac{2}{3} \bigg)}^{ \circ} }$

$\displaystyle \sf{ = \bigg({ \frac{62}{3} \bigg)}^{ \circ} }$

$\displaystyle \sf{ = \frac{62\pi}{3 \times 180} }$

$\displaystyle \sf{ = \frac{31\pi}{270} }$

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