Question

If a point P is 10cm from the centre of a circle of radius 8cm, then find the length of the tengent drawn to the circle from point P. ​

Answer 1

Answer:

by applying Pythagoras theorem we can calculate this.

length of tangent =√100-64 =√36=6cm

Answer 2

Length of the tangent dawn to the circle from point P will be 6 cm.

Step-by-step explanation:

By the theorem, tangent drawn from a point P to the circle at point T is always perpendicular to the radius joining points O and T.

By Pythagoras theorem in ΔTOP,

TP² + TO² = OP²

TP² = OP² - TO²

TP² = 10² - 8²

TP = $\sqrt{100-64}=\sqrt{36}$

TP = 6 cm

Therefore, length of the tangent TP will be 6 cm.

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