5.3 Areas of Sectors and Segments
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An artist is designing a corporate logo. The design consists of a sector DOCDOCDOC of a circle with centre OOO and radius ODODOD. This is joined to a major sector AOBEAAOBEAAOBEA of a smaller circle, also with centre OOO and radius OAOAOA. The points AAA and BBB lie on the line segments ODODOD and OCOCOC respectively, such that OOO, AAA, DDD and OOO, BBB, CCC are collinear.

Given that:

  • angle AOB=0.82AOB = 0.82AOB=0.82 radians
  • arc length CD=20.5 cmCD = 20.5\text{ cm}CD=20.5 cm
  • the ratio of lengths DA:AO=7:3DA : AO = 7 : 3DA:AO=7:3
a.

Show that AO=7.5 cmAO = 7.5\text{ cm}AO=7.5 cm.

[3]
b.

Calculate the perimeter of the logo, in cm, to 3 significant figures.

[4]
c.

Calculate the total area of the logo, in cm2\text{cm}^2cm2, to the nearest whole number.

[3]

5.3 Areas of Sectors and Segments Questions

Practise Edexcel A Level Maths 5.3 Areas of Sectors and Segments with exam-style questions for A Level Maths. 20 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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5.3 Areas of Sectors and Segments Questions

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