Question

वर्तुळ केंद्रापासून 10सेमी अंतरावरील बिंदूतून काढलेली स्पर्शिका 8सेमी लांबीची आहे.तर वर्तुळाची त्रिज्या किती?
1)4सेमी
2)5सेमी
3)6सेमी
4)7सेमी
​

Answer 1

Answer:

the radius of circle is of 6 cm

Answer 2

Given : वर्तुळ केंद्रापासून 10 सेमी अंतरावरील बिंदूतून काढलेली स्पर्शिका 8 सेमी लांबीची आहे

tangent drawn from a point 10 cm from the center of the circle is 8 cm long,  

To Find : radius of the circle

त्रिज्या

1)4सेमी

2)5सेमी

3)6सेमी

4)7सेमी

​

Solution:

Let say center = O

a point 10 cm away = P

=> OP = 10 cm

Tangent drawn = PA  = 8 cm

∠OAP = 90°

=>   OP² = PA² + OA²

OA = Radius

=> 10² = 8² + OA²

=> 6² = OA²

=> OA = 6  

radius of the circle = 6 cm

त्रिज्या  6 सेमी

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