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5.02 Degrees and Radians

Interactive practice questions

The diagram below shows a number of points on the unit circle. Which point corresponds to a distance of $\frac{\pi}{2}$π2 units around the circle?

$C$C

A

$B$B

B

$D$D

C

$A$A

D
Easy
< 1min

The diagram below shows a number of points on the unit circle. Which point corresponds to a distance of $\frac{21\pi}{4}$21π4 units around the circle?

Easy
< 1min

The diagram below shows a number of points on the unit circle. We want to find the point that is $1.6$1.6 units around the circle.

Easy
< 1min

Given that $x=\pi$x=πc represents half a circle, what fraction of the circumference of the unit circle does $x=\frac{\pi}{4}$x=π4c represent?

Easy
1min
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Outcomes

1.2.5

define and use radian measure and understand its relationship with degree measure

1.2.7

understand the unit circle definition of cos⁡θ, sin⁡θ and tan⁡θ and periodicity using radians

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