Question

find the length of tangent of a circle with Centre O and radius 6 centimetre from a point P such that OP=10cm?​

Answer 1

Answer:

tangent QP = 8 cm

Step-by-step explanation:

The length of the tangent can be find by using Pythagoras property

First draw radius on tangent in such a way that it falls at 90°.

This problem can be solve using Pythagoras Theorem.

This theorem is used for Right angle triangle. In right-angle triangle if one of the sides is unknown then we can find it by using the formula:

(Hypotenuse)² = (Base)² + (Perpendicular)²

Firstly take the ΔOPQ, We have

OP = 10, OQ = 6 and QP = ?

⇒ (OP)² = (OQ)² + (QP)²

⇒ 100 = 36 + (QP)²

⇒ (QP)² = 100 - 36 = 64

⇒ QP = 8

Thus, tangent QP = 8 cm