Discussion

Question:

If in the figure below, angle XYZ=90° and the length of the arc XZ=10π, then the area of the sector XYZ is:

Explanation:

Y is the centre of the circle.

Let r be the radius of the circle.

∴ Length of arc XZ = $\frac{1}{4} (2 π r) = 10 π$

∴ r = 20

Arc of sector XYZ = $\frac{1}{4} (π r^{2}) = 100 π$

Hence, option (c).

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