Multiple choice

In a circle of radius 5 cm, a chord is drawn 3 cm. from the centre. If a chord half the length of the original chord were drawn, its distance in centimetres from the centre would be - 5 सेमी. त्रिज्या वाले एक वृत्त में, केन्द्र से 3 सेमी. दूर एक जीवा खींची गयी है। यदि एक जीवा जो मूल जीवा की लम्बाई की आधी है, खींची जाये तो केन्द्र से इसकी दूरी (सेमी. में )होगी-

  1. 13.6857

  2. 13.8675

  3. 31.6875

  4. 13.6875
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For radius 5, chord at 3 cm: half-chord = 4 cm (3-4-5 triangle). Original chord = 8 cm. Half chord = 4 cm. Distance from center: sqrt(5² - 4²) = 3 cm. This tests circle geometry: chord length and distance from center relationship.

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