3.7 Radian measureIB Maths: Applications and Interpretation HL: Flashcards

What these 12 flashcards ask

What is one radian?
\pi radians in degrees?
Convert degrees to radians.
Convert radians to degrees.
30^\circ,\ 45^\circ,\ 60^\circ,\ 90^\circ in radians?
Arc length with \theta in radians?
Area of a sector with \theta in radians?
Perimeter of a sector?
Area between two radii of concentric sectors Rr?
Area between a chord and its arc?
Which angle unit do HL papers assume?
What must you check on the GDC for trigonometry?

Exam questions on 3.7 Radian measure

A sector $OAB$ of a circle has centre $O$ , radius 6 cm and angle $A\hat{O}B=\frac{2\pi}{3}$ .
Find the perimeter of the sector, correct to 3 significant figures.2 marks
An angle $\theta$ is measured as $150^\circ$ .
A circular sector has angle $\theta$ and radius 12 cm. Find the exact length of its arc.2 marks
A sector $OPQ$ of a circle with centre $O$ and radius $r$ cm has arc length 15 cm and area 75 cm $^2$ .
Find the value of $r$ and the size of angle $P\hat{O}Q$ in radians.3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).