3.4 Arc length and sector areaIB Maths: Applications and Interpretation HL: Flashcards

What these 13 flashcards ask

Circumference of a circle?
Area of a circle?
Arc length formula (degrees)?
Sector area formula (degrees)?
What is a sector?
What is a chord?
Perimeter of a sector?
Segment area?
Arc of radius 12 cm and angle 75^\circ?
Sector area, radius 12 cm and angle 75^\circ?
Angle turned by a minute hand in 25 minutes?
Units of arc length and sector area?
Are radians needed at SL for arcs and sectors?

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).