Geometry Is Fun! Huh!!

the_belal Replay of MBSTU Lockdown...
Limits 1s, 512 MB

You are given a circle with center O and radius r. Two chords of the circle, AB and CD , are equal and parallel to each other. E is a point between B and D on the perimeter of the circle.

You are given radius of the circle r and length of the chord AB. You have to calculate angle AEC.


First line will contain an integer T, the number of test cases (1<=T<=500) and the following T lines will contain exactly two integers r, AB ( 1<=r<=1000000000, AB<=2*r) where r denotes radius of the circle and AB denotes the length of the chord.


You have to print the output in the format “Case t: Y ” without quotes where t denotes test case number and Y denotes value of the angle AEC. Answer should be rounded to four places after the decimal point.


5 8
8 11
156 192
Case 1: 36.8699
Case 2: 46.5675
Case 3: 52.0201

If you need you can use PI equals to acos(-1.0).


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85% Solution Ratio
Tamim_VEarliest, Jul '20
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