Two circles of radius 4 and 6 cm and centers P and Q respectively, touch each other externally. From the center of first circle a tangent PR is drawn to second circle which touches the second circle at R. Find PR (in cm)?
[Type in your answer as the nearest possible integer]
Explanation:
We can draw the following figure from the given information.
In ∆PQR,∠PRQ = 90° (tangent makes an angle of 90° with the radius.)
∴ ∆PQR is a right triangle with PQ as the hypotenuse
⇒ PQ2 = PR2 + QR2
⇒ 102 = PR2 + 62
⇒ PR2 = 100 - 36 = 64
⇒ PR = 8
Hence, 8.
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