In the figure below, two circular curves create 60° and 90° angles with their respective centres. If the length of the bottom curve Y is 10, find the length of the other curve.
Explanation:
From the diagram, we can say that Y makes an angle of 60° and X an angle of 90°.
For Y ; ⅙ × 2πr = 10π.( r is radius of circle of which Y is a part).
∴ r = 30.
From the diagram ;
the radius of other circle = 15√2.
∴ Length of X = ¼× 2× π ×15√2 = 15π/√2.
Hence, option (a).
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