The diagram shows a sector OAB of a circle with centre O and radius r cm. The
Question:
The diagram shows a sector OAB of a circle with centre O and radius r cm. The angle AOB is θ radians and the perimeter of the sector is 30 cm.
a) Show that θ = 30/r − 2.
b) Find the area of the sector in terms of r.
c) Find the maximum possible area of the sector.
rcm Ө A B
Step by Step Answer:
a The perimeter of the sector is given by the sum of the length of the arc AB and the lengths of the ...View the full answer
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
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