Geometry
posted by Anna on .
I don't know how to draw or do this.
A plane 5 cm from the center of a sphere intersects the sphere in a circle with diameter of 24 cm. Find the diameter of the sphere.

Draw a circle and draw a line cutting the circle, that line will represent the plane
So you are looking at a crosssection.
the length of the chord is 24 cm.
draw a line from the centre to that chord, it will be 5 cm.
Draw a line from the centre to the end of the chord, this would be the radius of the circle.
Don't you have a rightangled triangle where the hypotenuse is the radius??
so r^2 = 12^2 + 5^2
r = 13
so the diameter of the circle is 26