Question

Draw a circle of radius 6 cm. From a point 10 cm away from its center, construct the pair of tangents to the circle and measure their lengths.

Hint:

Tangent Length Formula: \( \sqrt{d^2 - r^2} \) where \( d \) is distance from center.

Answer 1

Using tangent length formula:
\[ \text{Length of tangent} = \sqrt{d^2 - r^2} \] \[ = \sqrt{10^2 - 6^2} \] \[ = \sqrt{100 - 36} = \sqrt{64} = 8 \text{ cm} \] Thus, the length of each tangent is \( \mathbf{8} \) cm.