TheCATExam
Sign in

XAT 2016 — QA & DI Question 22

Basics of CirclesEasy

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.

​​​​​​​

Answer & solution

  • 15π/√2

  • B

    20π√2/3

  • C

    60π/√2

  • D

    20π/3

  • E

    15π

Solution

​​​​​​​

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).

XAT 2016 QA & DI Q22: In the figure below, two circular curves create 60° and 90° angles with their respective centres. If t — Solution | TheCATExam