The shape of a badge is a sector ABC of a circle with centre A and radius

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The shape of a badge is a sector ABC of a circle with centre A and radius AB, as shown in the diagram. The triangle ABC is equilateral and has perpendicular height 3 cm.

a. Find, in surd form, the length of AB.

b. Find, in terms of π, the area of the badge.

c. Prove that the perimeter of the badge is 2√3/3(π + 6)cm.

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Related Book For  book-img-for-question

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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