Question

The length of the tangent from a point A at a distance 5 cm from the center of the circle is 4 cm. Find the radius of the circle.

Answer 1

Answer:

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Step-by-step explanation:

AB is a tangent drawn on this circle from point A.

∴ OB ⊥ AB  

OA = 5cm and AB = 4 cm (Given)  

In ΔABO,  

By Pythagoras theorem in ΔABO,  

OA2 = AB2 + BO2  

⇒ 52 = 42 + BO2  

⇒ BO2 = 25 - 16  

⇒ BO2 = 9  

⇒ BO = 3  

∴ The radius of the circle is 3 cm.