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

In The Circle Below If AD Is A Diameter And The Length Of Chord BC 36 Find The Length Of The Segment BP class=

Sagot :

Sqdancefanidn

Answer:

  b.  18

Step-by-step 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.

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