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The Length of a Tangent from a Point A at distance 5 cm from the Centre of the circle is 4cm. Find the radius of the Circle.
To solve this problem, AB is a tangent drawn on the above circle from point A.
AB is a tangent drawn on this circle from point A.
Using Pythagoras theorem,
a² + b² = c²
In the above circle,
OA² + OT² = AT²
So, substitute the values
5² + r² = 4²
25 + r² = 16
r² = 25 – 16
r² = 9
r = √9
r = 3
So, the radius of the circle is 3 cm.
Some Problems For You to Work out
We have given you some problems. Try solving these problems to get a better understanding about Tangents and circles.
1. Find the length of the tangent drawn to a circle of radius 3cm, from a point distnt 5 cm from the center.
2. The Length of a Tangent from a Point A at distance 10 cm from the Centre of the circle is 8 cm. Find the radius of the Circle.
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