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avatar+190 

Question 1:

https://static.k12.com/nextgen_media/assets/8104495-NG_GMT_%20DP100_897_002.jpg

This figure shows circle O with chords  AC and BD .

​ m(arc)AB=34º
m(arc)CD=34º
AP=6 m ​
PC=8 m

 

What is BD?

 

My Answer: 14m

 

Question 3:

https://static.k12.com/nextgen_media/assets/8093709-NG_GMT_SemB_10_UT_17.png

This figure shows circle O with inscribed ∠XYZ .

 

m∠XYZ=76º

 

What is the measure of (arc)XYZ?

 

My Answer: 208º or 152º

 

Question 10:

A circle has a radius of 12.6 cm.

What is the exact length of an arc formed by a central angle measuring 120°?

 

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

 

My Answer: 8.4π cm

 

 

 

 

Please check if these are correct, and if they aren't can you help me get the correct answers please?!?!

 

Thank You So Much!!!

KennedyPape  Mar 7, 2018
 #1
avatar+87301 
+2

First one....

 

Connect  BC......

 

This sets up triangle BPC   where angle PCB  = angle PBC....so  BP  = CP....so BP  = 8

 

Next....connect  AD

 

This sets up triangle  APD  with  angle DAP  = angle ADP.......so  AP  = PD  = 6

 

Then  BD  = BP  +  PD    =   8  +  6   =  14     and you are correct   !!!!!

 

 

 

cool cool cool

CPhill  Mar 7, 2018
 #2
avatar+87301 
+2

Second one :

 

If  XYZ  = 76°.....then minor arc  XZ  = twice this   =  152°

 

So....major arc XYZ  = 360  - 152  =   208°

 

 

cool cool cool

CPhill  Mar 7, 2018
 #3
avatar+87301 
+2

Third  one :

 

S  = arc length....so...

 

S   =2 * pi  * radius  *  (central  angle measure / 360)    ....so....

 

S   =  2 * pi  * (12.6)  *  ( 120 / 360)  =

 

2 * pi * 12.6  *  (1/3)  =

 

2 * 12.6 / 3  * pi   =

 

8.4 pi  cm      CORRECT -A - MUNDO  !!!!

 

 

 

cool cool cool

CPhill  Mar 7, 2018
 #4
avatar+190 
+1

Thank You SOOOO Much!!!! You have helped me with so many other questions had always respond so quickly. I really appreciate the time you take to help me and so many other people who are struggling with math and instead of just giving them an answer you go step by step in the problem to make sure they understand. Thank You So Much!!!!

KennedyPape  Mar 7, 2018
 #5
avatar+87301 
+1

Thanks, Kennedy....I do what I can to make this stuff a little more understandable  !!!

 

 

 

cool cool cool

CPhill  Mar 7, 2018

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