Latest TCS Aptitude Question SOLUTION: What is the distance in cm between two parallel cords of length 32cm and 24cm in a circle of radius 20 cm? 1. 4 or 28 2. 2 or 14 3. 1 or 7 4. 3 or 21

• Placement Papers
• /
• TCS
• /
• Numerical Ability
• /
• Geometry

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40038988) TCS Numerical Ability question circle Keep an EYE

What is the distance in cm between two parallel cords of length 32cm and 24cm in a circle of radius 20 cm?
1. 4 or 28
2. 2 or 14
3. 1 or 7
4. 3 or 21

Asked In TCS Twinkle (9 years ago)

Unsolved Read Solution (4)

Is this Puzzle helpful?   (25)   (7) Submit Your Solution Geometry

Read Solution (4) :

RAKESH  (9 years ago)

1. 4 or 28
let the perpendicular distance of the chords from the center be x & y respectvly

x^2 + 16^2 = 20^2 => x = 12
y^2 + 12^2 = 20^2 => y = 16

as, chords are parallel, they can same or opposite sides from centre
distance = 16+12= 28cm or 16-12=4cm

Is this solution Helpfull? Yes (59) | No (1)  

Kethineni Vinodh  (9 years ago)

There are 2 possibilities :

Both chords on opposite side of the centre.

Both side on the same side from the centre.

Opposite side:

Perpendicular from the centre to the chord, bisects the chord.

Hence PB = 12 and QA = 16.

Now apply Pythagoras theorem.

OP^2 = OB^2 - PB^2 = 400 – 144 = 256. OP = 16.

OQ^2 = OA^2 - QA^2 = 400 – 256 = 144. OQ = 12.

Hence, the distance is sum of OP and OQ is 28.

Same side :

We get OP as 16 and OQ as 12 (explained above).

Since they are on the same side, the distance between them is 4. (16 – 12)

Is this solution Helpfull? Yes (4) | No   

khan omar khalid  (9 years ago)

chord length=2sqrt(r^2-d^2)
using these formula find d which is the perpendicular distance

Is this solution Helpfull? Yes (1) | No (2)  

Raghav gupta  (9 years ago)

always remember perpendicular from the center to the chord bisects the chord so using this property we can calulate x distance from one chord to the center by using pythagorus theorem and similarly y distance from another chord and add them you will get 28 as an answer also it may be a possibility that both the chords lie above or below the center in that case just subtract the distance from the individual chord u will achieve 4

Is this solution Helpfull? Yes (1) | No   

Please Login to Read Solution.