Question

1. The perimeter of a sector of a circle of radius r is 8 metres.

(i) Express θ in terms of r, where is the angle of the sector
in radians, as shown.
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Answer 1

Explanation:

s and r are the arc length and radius, respectively.

perimeter of sector = s+2r = 8

s = 8-2r

θ = s/r = (8-2r)/r