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Chord AC intersects chord BD at point P  in circle Z.

AP=12 m
DP=5 m
PC=6 m

 

What is BP?

Enter your answer as a decimal in the box.

 ___m

A circle has a radius of 6 in.

What is the exact length of an arc formed by a central angle measuring 45°?

 

Enter your answer in the box. Express your answer using π .

__ in.

Guest Mar 2, 2018
 #1
avatar+88980 
+1

The first is known as the "Intersecting Chords Theorem"

 

Specifically.....

 

AP * PC  =  DP * PB   ...so....

 

12 * 6  =   5 * PB

 

72  = 5 * PB     

 

72/5  = PB  =  BP

 

 

Second one

 

Arc length  =

 

(2 pi) * r  *  (45 / 360)  =

 

(2 pi) * 6  *  1/8  =

 

12 /8 pi  =

 

(3/2) pi   inches

 

 

cool cool cool

CPhill  Mar 2, 2018

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