Question

In the circle below, if AD is a diameter, and the length of chord BC = 36, find the length of the segment BP.

Answer 1

b. 18

Explanation:

The perpendicular bisector of a chord is a diameter of the circle. Conversely, if the diameter is perpendicular to a chord, it also bisects it.

Segment lengths

BC = BP +PC

BC = 2×BP . . . . . . . BP = PC

BP = BC/2 = 36/2 = 18 . . . . . . . divide by 2; substitute given values

The length of segment BP is 18 units.