Question

Two equal circles pass through each other's center. If the radius of each circle is $8$ cm. What is the length of the common chord?

• A. $8\sqrt{3}$ cm
• B. $16$ cm
• C. $4\sqrt{3}$ cm
• D. $4$ cm
• E. None of these

Answer 1

The correct option is A $8\sqrt{3}$ cm

REF.Image

AB=?

Length of common chord

= 2 AC

$=2\sqrt{8^2-y^2}$

$=2\sqrt{64-16}$

$=2\sqrt{48}$

$=8\sqrt{3}$