In a circle, PQ and RS are two diameters that are perpendicular to each other. Find the length of the chord PR.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e PQ/√(2)
Two perpendicular diameters will meet at the center (O) of the circle at which they make a right-angle.
The triangle ROP is a right-angled triangle where the right angle is at O.
By Pythagoras theorem,
PR2 = OP2 + OR2
PR = √2r
Where 'r' is the radius of the circle
PQ = 2r
⇒ PR = PQ/√(2)