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SSC CGL 2020 PYQ — Question 67

SSC CGL - 3rd March 2020 Shift 3 • Quantitative Aptitude • Q67

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In a circle with radius 5 cm, a chord is at a distance of 3 cm from the centre. The length of the chord is:

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Correct answer: C

Explanation

The correct answer is Option 3 i.e 8 cm.

Understanding/Application

Length of radius = 5cm

Distance from the center = 3cm

Let the length of the chord be 'x' cm.

Also,

The shortest distance between any points is the perpendicular between them.

Since its a perpendicular distance -

Using Pythagoras theorem - 

52 = x2 + 32

⇒ 25 = x2 + 9

⇒ x2 = 16

⇒ x = ± 4

On the other side it will also be 4 cm, since we talk only of one side.

So, the length of the chord = 4 + 4 = 8 cm

Since, Its length cannot be negative, so taking it as positive.