Question

Draw two concentric circles of radii $3$ cm and $5$ cm. Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation.

Answer 1

Solution:

For two concentric circles of radii $3$ cm and $5$ cm we have,

Steps of construction

1. Draw a circle with Centre O and radius $3$ cm.

2. Draw another circle with Centre O and radius $5$cm.

3. Take a point $P$ on the circumference of a larger circle and join $OP$.

4. Draw another circle with diameter $OP$ such that it intersects the smallest circle at $A$ and $B$.

5. Join $A$to $P$ and $B$ to $P$.

Hence, $AP$ and $BP$ are the required tangents.