Skip to content

Course home

Sign up

3 Unit A2 1: Pure Mathematics (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319
Question 280

A sector of a circle, with radius rrr cm and angle θ\thetaθ radians, has an area of 12 cm212\text{ cm}^212 cm2 and a perimeter of 14 cm14\text{ cm}14 cm.

a.

Show that 3θ2−13θ+12=03\theta^2 - 13\theta + 12 = 03θ2−13θ+12=0 is NOT correct for these values, and instead find the correct quadratic equation in terms of θ\thetaθ only, in the form aθ2+bθ+c=0a\theta^2 + b\theta + c = 0aθ2+bθ+c=0.

[5]
b.

Hence find the possible pairs of values for rrr and θ\thetaθ.

[4]
Markscheme

3 Unit A2 1: Pure Mathematics (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3 Unit A2 1: Pure Mathematics (A-level only)

Question bank