Question

Two spheres of radius 3 cm and 4 cm cut each other orthogonally.Find the radius of the common circle.​

Answer 1

Answer:

$\huge \mapsto \boxed{ \rm \red{Question}}$

Two spheres of radius 3 cm and 4 cm cut each other orthogonally.Find the radius of the common circle.

______________________________________________________

$\huge \mapsto \boxed{ \rm \purple{ \: Answer \: }}$

______________________________________________________

See below a section of the spheres, passing through their centers A and B. They intersect each other orthogonally if radii AC and BC are perpendicular.

It follows that ABC is a right triangle with legs r1 and r2. And its altitude CH is the radius of the intersection circle.

______________________________________________________

$\large \mapsto \boxed{ \rm \green{ \: 10 \: thanks \: = \: I \: will \: inbox \: u \: }}$