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

Open in App

Solution

Let us first draw whatever is given for a better understanding of the problem.

Let O be the center of the circle and B be the point of contact.

We know that the radius of the circle will be perpendicular to the tangent at the point of contact. Therefore, we have as a right triangle and we have to apply Pythagoras theorem to find the radius of the triangle.

Therefore, radius of the circle is 3 cm.

Suggest Corrections

Similar questions

3 c m

5 c m

4 c m

(hypotenuse)^{2} = (base)^{2} + (height)^{2}

Construct two tangents to a circle of radius 4 cm from a point 5 cm. away from the centre.

The length of the tangent from an external point P to a circle of radius 5 cm is 10 cm. The distance of the point from the centre of the circle is

(a) 8 cm (b) $\sqrt{104}$ cm (c) 12 cm (d) $\sqrt{1} 25$ cm

Join BYJU'S Learning Program