Further Maths - Radians

Pearson Edexcel Further Mathematics 2022

Created: October 14, 2020 | Read markdown | About these notes | View in context | Study these flashcards |

Radians in a full and half turn

How many radians in a full circle?

radians-in-full-circle
\[2\pi\]

How many radians in $360^{\circ}$?

radians-in-360-degrees
\[2\pi\]

How many circles in a half turn?

radians-in-half-turn
\[\pi\]

What is $180^{\circ}$ in radians?

180-degrees-in-radians
\[\pi\]

Common angle conversions

What is $\frac{\pi}{2}$ radians in degrees?

pi-over-2-to-degrees
\[90^{\circ}\]

What is $90^{\circ}$ degrees in radians?

90-degrees-to-radians
\[\frac{\pi}{2}\]

What is $\frac{\pi}{3}$ radians in degrees?

pi-over-3-to-degrees
\[60^{\circ}\]

What is $60^{\circ}$ degrees in radians?

60-degrees-to-radians
\[\frac{\pi}{3}\]

What is $\frac{\pi}{6}$ radians in radians?

pi-over-6-to-degrees
\[30^{\circ}\]

What is $30^{\circ}$ degrees in radians?

30-degrees-to-radians
\[\frac{\pi}{6}\]

What is $\frac{\pi}{4}$ radians in degrees?

pi-over-4-to-degrees
\[45^{\circ}\]

What is $45^{\circ}$ degrees in radians?

45-degrees-to-radians
\[\frac{\pi}{4}\]

Arc length and sector area

What is the formula for arc length in terms of $r$ and $\theta$ for radians?

arc-length-formula
\[r\theta\]

What is the formula for the volume of a sector in terms of $r$ and $\theta$ for radians?

sector-area-formula
\[\frac{1}{2}r^2\theta\]


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