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3 Unit A2 1: Pure Mathematics (A-level only)

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Question 132

A sector has perimeter 24 cm. Its radius is r r\,r cm.

a.

Show that its area is A=12r−r2A=12r-r^2A=12r−r2.

[3]
b.

Hence find the maximum possible area of the sector and the corresponding angle in radians.

[4]
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3 Unit A2 1: Pure Mathematics (A-level only) Questions

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