Question

Two parallel lines touch the circle at
points A and B respectively. If the area of the circle is 25 n cm², then AB is equal to ______ 

Options

• 5 cm

• 8 cm

• 10 cm

• 25 cm

Answer 1

Two parallel lines touch the circle at
points A and B respectively. If the area of the circle is 25 n cm², then AB is equal to 10 cm.

Explanation:

Let radius of circle = R
∴ πR² = 25π
⇒ R = 5 cm
∴ Distance between two parallel tangents = diameter = 2 × 5 = 10 cm.