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Mathematics
Problem
What is the area of a sector that subtends an angle of
θ
\theta
θ
degrees at the centre of a circle of radius
r
r
r
? a)
θ
180
π
r
\dfrac{\theta}{180}\,\pi r
180
θ
π
r
b)
θ
180
π
r
2
\dfrac{\theta}{180}\,\pi r^{2}
180
θ
π
r
2
c)
θ
360
π
r
2
\dfrac{\theta}{360}\,\pi r^{2}
360
θ
π
r
2
d)
1
2
r
2
θ
\dfrac{1}{2}\,r^{2}\theta
2
1
r
2
θ
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