Question

The length of a tangent drawn from a point at a distance of 10 cm of the circle is 8 cm. The radius of the circle is ______ 

विकल्प

• 4 cm

• 5 cm

• 6 cm

• 7 cm

Answer 1

The length of a tangent drawn from a point at a distance of 10 cm of the circle is 8 cm. The radius of the circle is 6 cm.

Explanation:

In rt. AOAP, we have
OA² + AP² = OP²
⇒ OA² + (8)² = (10)²
⇒ OA² + 64 = 100
⇒ OA² = 100 - 64 = 36
∴ OA = `sqrt36` = 6 cm