Terry's copy of Converting angles from degrees to radians

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Question 1

Please convert the following angles from degrees to radians.

Note: to enter the value $\pi$ simply type pi. For example, $\frac{3\pi}{2}$ could be entered as 3*pi/2 or even as 3pi/2

a)

$\var{easy1}^\circ=$ interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{2 \pi}$

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b)

$\var{med}^\circ=$ interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\frac{ \pi }{ 6 }}$

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c)

$\var{a*b}^\circ=$ interpreted as $\displaystyle{}$ Expected answer:interpreted as $\displaystyle{\frac{ 8 }{ 45 } \pi}$

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Advice

$180^\circ$ is equal to $\pi$ radians. This means for each $180^\circ$ we can replace it with $\pi$ radians. To determine how many $180^\circ$ s are in an angle, we divide the angle by $180^\circ$ . In other words, to convert from degrees to radians we divide by $180^\circ$ and multiply by $\pi$ radians.

For example, $\displaystyle 72^\circ=\frac{72^\circ}{180^\circ}\times \pi=\frac{2\pi}{5}$ .

It is useful to memorise some of the very common angles, for example, $30^\circ=\displaystyle \frac{\pi}{6},\, 45^\circ=\frac{\pi}{4},\, 60^\circ=\frac{\pi}{3}, \,90^\circ=\frac{\pi}{2}, \,180^\circ=\pi$ and $360^\circ=2\pi$ .

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Terry's copy of Converting angles from degrees to radians

a)

b)

c)

Advice