Question: The radius of circular section of the sphere $| \mathrm { r } | = 5$ by the plane <img src="https...

Question

The radius of circular section of the sphere $| \mathrm { r } | = 5$ by the plane is

Answer 1

Radius of the sphere =5

Given plane is $x + y + z - 4 \sqrt { 3 } = 0$

Length of the perpendicular from the centre (0, 0, 0) of the sphere to the plane = $\frac { 4 \sqrt { 3 } } { \sqrt { 1 + 1 + 1 } } = 4$

Hence, radius of circular section $= \sqrt { 25 - 16 } = 3$

Question: The radius of circular section of the sphere \(| \mathrm { r } | = 5\) by the plane <img src="https...