From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is:
1 mark
🔍 View Detailed Solution & Schema →

Question

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is:

Accepted Answer

Using Pythagoras theorem in the right-angled triangle formed by the radius, tangent, and line from center to Q: Radius = $\sqrt{25^2 - 24^2} = \sqrt{625 - 576} = \sqrt{49} = 7$ cm.

Circles

❓ Sibling Questions in this Chapter