if a plane intersects a sphere, what is the shape of the resulting cross section?\n\na. a semicircle\nb. an…

if a plane intersects a sphere, what is the shape of the resulting cross section?\n\na. a semicircle\nb. an oval\nc. a circle\nd. a line segment
Answer
Brief Explanations:
A sphere is a three - dimensional object where all points on its surface are equidistant from the center. When a plane intersects a sphere, the set of points of intersection forms a closed curve. By the definition and properties of a sphere, any plane - sphere intersection will result in a circle. A semicircle is only half of a circle, an oval (ellipse) would be the result of a plane intersecting an ellipsoid (not a sphere) at an angle, and a line segment is a one - dimensional figure and not the result of a plane - sphere intersection.
Answer:
C. a circle