# Let ABCD be a rectangle inscribed in a circle | Quantitative Aptitude - Geometry – Mensuration

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Mensuration : Let ABCD be a rectangle inscribed in a circle . Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

## CAT 2018 - Slot-1 - Mensuration - Question-2 - Let ABCD be a rectangle inscribed in a circle

Q. 2: Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent, in cm, the possible length and breadth of ABCD?

1. 24, 10

2. 25, 9

3. 24, 12

4. 25, 10

As ABCD is a rectangle angles A,B,C and D will be 90°. Thus AC will be diameter of circle of length 13*2 = 26

So length , width and 26 will form a Pythagorean triplet . From given options ,

only option 1. 24, 10 satisfy this condition as

10^2+24^2=26^2

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