Two equal circles pass through each other’s centre. If the…

Two equal circles pass through each other’s centre. If the radius of each of the circle is 13 cm, then what is the length of the common chord?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. $13\sqrt3\ cm$ .

Radius of each circle = 13 cm

Length of the common chord $=2\sqrt{13^2-\left(\frac{13}{2}\right)^2}$

$=2\sqrt{169-\frac{169}{4}}$

$=2\sqrt{\frac{507}{4}}$

= $\sqrt{507}$

= 13√3

SSC CGL 2024 PYQ — Question 75