3.4 Arc length and sector areaIB Maths: Applications and Interpretation HL: Mind map

What this mind map covers

Parts of a circle
Arc length
Sector area
Perimeter and unknowns
Segments and paths
Common mistakes

Exam questions on 3.4 Arc length and sector area

A sector of a circle has radius 12 cm and the angle at the centre is $75^\circ$ .
Find the perimeter of the sector.2 marks
The minute hand of a clock has length 9 cm. It starts at the 12 and turns clockwise for 25 minutes.
Find the area swept out by the minute hand.2 marks
A sector $OAB$ of a circle with centre $O$ has radius 8 cm. The arc $AB$ has length 14 cm.
Find the angle $A\hat{O}B$ , and hence find the area of the sector $OAB$ .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).