NECO 2023 · Paper 1 · Q1

Convert $45^\circ$ to radians in terms of $\pi$ .

Worked solution (try it first)

$\pi$ radians is $180^\circ$ , so to change degrees to radians multiply by $\dfrac{\pi}{180}$ .
$45 \times \dfrac{\pi}{180} = \dfrac{45\pi}{180}$ , and 45 goes into 180 four times, so this is $\dfrac{\pi}{4}$ .
So $45^\circ = \dfrac{\pi}{4}$ , option C.