If the area of the circle is 616 cm² and a chord XY = 10…

If the area of the circle is 616 cm² and a chord XY = 10 then find the perpendicular distance from the center of the circle to the chord XY.

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. √171.

Area of the circle = 616 cm²

πr² = 616

⇒ 22/7 × r² = 616

⇒ r² = 196

⇒ r = 14 cm

In triangle OZX by using Pythagoros theorem.

OX² = OZ² + XZ²

⇒ 196 = OZ² + 25

⇒ OZ = √(196 - 25)

⇒ OZ = √171 cm

SSC CGL 2023 PYQ — Question 65