This figure shows circle O with chords AC and BD .
What is BD?
My Answer: 14m
This figure shows circle O with inscribed ∠XYZ .
What is the measure of (arc)XYZ?
My Answer: 208º or 152º
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!!!
This sets up triangle BPC where angle PCB = angle PBC....so BP = CP....so BP = 8
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 !!!!!
Second one :
If XYZ = 76°.....then minor arc XZ = twice this = 152°
So....major arc XYZ = 360 - 152 = 208°
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 !!!!
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!!!!