Question

The length of the tangents from a point A to a circle of radius 3 cm is 4cm . Then distance of A form the centre of circle is

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The distance of A form the centre of circle is 5 cm.

Explanation:

We know that the tangent drawn from an external point to the circle makes right with the radius at the point of intersection with circle.

Let O= center of circle

A= External Point from which tangent is drawn

R = Point of intersection of radius and tangent.

Then, Δ ARO is a right triangle.

AS per given ,  we have

OR = 3 cm

AR= 4 cm

To find : AO

By Pythagoras theorem, we have

AO²= AR²+OR²

AO²=  4²+ 3² = 16+9=25

AO²= 25

⇒ AO=5 cm  [Take square root on both sides]

Hence, the distance of A form the centre of circle is 5 cm.

# Learn more :

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

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