Finding formula for the area of a segment with radius r, central angle theta

tpupble

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Starting with the formula for area of a circle: A=1/2 ab sin (C)
C being the angle between the two known sides.
A = 1/2 r² sin θ

The answer is B but how is this so. This means that sin θ = θ - sin θ, yet this is not true. If θ were π/2, the LHS would be 1 whilst the RHS would be π/2 - 1.
 
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