एका वर्तुळाची जीवा 24 सेमी आर लांबीची असून तिचे केंद्रापासून अंतर 5 सेमी असेल तर त्या वर्तुळाची त्रिज्या किती असेल
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Given : एका वर्तुळाची जीवा 24 सेमी आर लांबीची असून तिचे केंद्रापासून अंतर 5 सेमी असेल
the chord of a circle is 24 cm long and its distance from the center is 5 cm,
To Find : त्या वर्तुळाची त्रिज्या किती असेल
what is the radius of that circle?
Solution:
AB = जीवा = Chord = 24 सेमी cm
OM ⊥ AB
OA = OB = Radius = त्रिज्या
M is mid point of AB
OM = 5 cm
AM = BM = AB/2 = 24/2 = 12 cm
OA² = AM² + OM²
=> OA² = 12² + 5²
=> OA² = 144 + 25
=> OA² = 169
=> OA = 13
Radius = त्रिज्या = 13 सेमी cm
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