A 15-cm-long perpendicular is drawn from the center of a circle to its 40-cm-long chord. Find the radius of the circle.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 25 cm.
Given that
The chord AB length of a circle is 40 cm
A 15-cm-long perpendicular is drawn from the centre of a circle O to the chord AB
Let the radius of the circle be r cm
By using Pythagoras theorem
r2 = 152 + 202
⇒ r2 = 225 + 400 = 625
⇒ r = 25 cm