Converting angles from degrees to radians

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)

$\var{easy1}^\circ=$ question.score feedback.none Expected answer:

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b)

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c)

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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 $360^\circ=2\pi$.

For part (c) you had $\var{a*b}^\circ = \frac{\var{a*b}\pi}{180}$, which simplifies to $\simplify{{a}*{b}/{180}}\pi$.

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Converting angles from degrees to radians

Question 1

Question 1

a)

b)

c)

Advice