A sphere has centre at and radius

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

A sphere has centre at

(2,-1,4)

and radius

6\,\text{units}

. When this sphere is cut by the

xy\text{-}plane

, what is the radius of the resulting circle of intersection? (a)

4

(b)

\sqrt{52}

(c)

2\sqrt{5}

(d)

6