Home » Aptitude » Simplification

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

Correct Answer: 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord


Since both passes through the center of each other as shown in figure


So O1O is the radius of both


Let O1O = r = AO1= AO


AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)


AOO1 forms an equilateral triangle with on side = radius = r


Sin 60 = √3/2 = AX / AO = 5√3/r


So r = 10 cm


So diameter = 20 cm


 


← Previous Question Next Question→

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion