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Edexcel A-Level Mathematics AS P1.3.1 Sine Rule Cosine Rule and Triangle Area Questions

Practise applying sine rule, cosine rule and triangle area formulae to find angles, side lengths and areas from geometric diagrams.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • use the cosine rule to find an angle or side when two sides and the included angle are involved
  • apply 1/2ab sin C to connect a triangle area with unknown side lengths or angles
  • handle ambiguous sine rule cases by selecting the angle consistent with the diagram

Edexcel A-Level Mathematics AS P1.3.1 Sine Rule Cosine Rule and Triangle Area Questions question 1

[Maximum number: 3]
Figure 1

Figure 1

Figure 1 shows the plan view for the design of a stage.
The design consists of a sector OBC of a circle, with centre O, joined to two congruent triangles OAB and ODC.

Given that
- angle B O C=2.4 radians
- area of sector BOC=40 m2B O C=40 \mathrm{~m}^{2}
- AOD is a straight line of length 12.5 m

the total area of the stage, giving your answer, in m2\mathrm{m}^{2}, to one decimal place,

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