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Mathematics
Mathematics
Problem
Which of the following expressions represents the area of a minor segment of a circle of radius
r
r
r
subtended by a central angle
θ
\theta
θ
(in degrees)? a)
θ
360
π
r
2
+
1
2
r
2
sin
θ
\dfrac{\theta}{360}\pi r^{2}+\dfrac{1}{2}r^{2}\sin\theta
360
θ
π
r
2
+
2
1
r
2
sin
θ
b)
π
r
2
−
1
2
r
2
sin
θ
\pi r^{2}-\dfrac{1}{2}r^{2}\sin\theta
π
r
2
−
2
1
r
2
sin
θ
c)
θ
360
π
r
2
−
1
2
r
2
sin
θ
\dfrac{\theta}{360}\pi r^{2}-\dfrac{1}{2}r^{2}\sin\theta
360
θ
π
r
2
−
2
1
r
2
sin
θ
d)
θ
180
π
r
2
−
1
2
r
2
sin
θ
\dfrac{\theta}{180}\pi r^{2}-\dfrac{1}{2}r^{2}\sin\theta
180
θ
π
r
2
−
2
1
r
2
sin
θ
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