In the diagram, OAB is an isosceles triangle with OA = OB and angle AOB = 2
Question:
In the diagram, OAB is an isosceles triangle with OA = OB and angle AOB = 2θ radians.
Arc PST has centre O and radius r, and the line ASB is a tangent to the arc PST at S.
i. Find the total area of the shaded regions in terms of r and θ.
ii. In the case where
and r = 6, find the total perimeter of the shaded regions, leaving your answer in terms of √3 and π.
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ANSWER part i The area of the shaded region is equal to the area of ...View the full answer
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Related Book For 
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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