A circle with radius r has a tangent line at a point P on the circle.
A circle with radius r has a tangent line at a point P on the circle. The distance of the tangent from point P to the external point Q is 10 cm. The distance from the center of the circle to point Q is 13 cm. Find the radius of the circle.
त्रिज्या r वाले एक वृत्त पर स्थित बिंदु P पर एक स्पर्श रेखा है। बिंदु P से बाह्य बिंदु Q तक स्पर्श रेखा की दूरी 10 सेमी है। वृत्त के केंद्र से बिंदु Q तक की दूरी 13 सेमी है। वृत्त की त्रिज्या ज्ञात कीजिए।
Detailed Solution & Logic
$\sqrt{69}$
Solution:
Angles subtended by the same arc of a circle are equal.
Here, both $\angle RPQ$ and $\angle RSQ$ are subtended by the same arc $RQ$.
Therefore,
$\angle RSQ = \angle RPQ = 69^\circ$
Answer: 69°
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