Question

Four alternative answers for the following question is given. Choose the correct alternative.

Two circles intersect each other such that each circle passes through the centre of the other. If the distance between their centres is 12, what is the radius of each circle?

Options

• 6 cm 

• 12 cm 

• 24 cm

• can’t say 

Answer 1

Let C₁ and C₂ be the centres of the two circles.


Radius of circle with centre C₁ = Radius of circle with centre C₂ = Distance between their centres = C₁C₂ = 12 cm 
Thus, the radius of each circle is 12 cm.
Hence, the correct answer is 12 cm  .