A tangent is drawn to a circle with a radius of 5 cm. At the point of tangency, what is the angle between the tangent and the radius?
A tangent is drawn to a circle with a radius of 5 cm. At the point of tangency, what is the angle between the tangent and the radius?
5 सेमी त्रिज्या वाले एक वृत्त पर एक स्पर्श रेखा खींची गई है।स्पर्श बिंदु पर,स्पर्श बिंदु पर रेखा और त्रिज्या के बीच का कोण क्या हैं?
Detailed Solution & Logic
Correct Answer:
90\(^\circ\)
A fundamental property of circles states that:
The tangent to a circle at any point is perpendicular to the radius drawn to the point of tangency.
Since the radius is drawn to the point where the tangent touches the circle, the angle between the tangent and the radius is always:
$ \angle(\text{radius, tangent}) = 90^\circ $
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