Question

यदि वृत्त की त्रिज्या १३ सेमी है और उसकी एक जीवा के लम्बाई २४ सेमी है तो केंद्र से भहया बिंदु की दूरी नयत कीजिये।

Answer 1

Answer:

The distance of chord from the center O of circle is 5 cm .

Step-by-step explanation:

Given as :

A circle with center o

The radius of circle = r = 13 cm

The length of one of its chord = AB =  l = 24 cm

Let The distance of chord from the center O of circle = OM = x cm

According to question

The measure of radius = OA = OB = r = 13 cm

Let The point M on chord divide chord in two equal parts

So, AM = BM = $\dfrac{AB}{2}$

Or, AM = BM = $\dfrac{24}{2}$

i.e AM = BM = 12 cm

perpendicular from point m on center O makes right angle with radius

So, OB² = OM² + BM²

i.e r² = x² + 12²

Or , x² = 13² - 12²

Or, x² = 169 - 144

Or, x² = 25

So, x = √25

i.e x = 5 cm

So, The distance of chord from the center O of circle = OM = x = 5 cm

Hence, The distance of chord from the center O of circle is 5 cm . Answer