+0  
 
0
343
1
avatar

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
Sort: 

1+0 Answers

 #1
avatar+86622 
+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

27 Online Users

New Privacy Policy (May 2018)
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  Privacy Policy