Radius of a circle is 5 cm. Length of chord AB in this circle is 6 cm. What is the distance of this chord from the centre of the circle?

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 1)
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  1. 4 cm
  2. 5 cm
  3. 6 cm
  4. 8 cm

Answer (Detailed Solution Below)

Option 1 : 4 cm
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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Given:

Radius of a circle is 5 cm.

Length of chord AB in this circle is 6 cm.

Calculation:

Let OB be the radius of the circle and OD be the distance from the center to the chord AB

Now, We know altitude from the center of a circle to its chord bisect the chord

OB2 = BD2 + OD2

⇒ 52 = 32 + OD2

⇒ 25 = 9 + OD2

OD2 = 16

⇒ OD = 4

∴ The distance of this chord from the centre of the circle is 4 cm.

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