Hello, I just have 2 questions. If you could help me out, then thank you :)

1. This figure shows circle Z with chords AB and RS.

M(arc)AR=55dg

M(arc)RB=66dg

AB=8m

RS=8m

What is m(arc)RS?

2. This figure shows circle with diameter QS.

m(arc)RQS=280dg.

What is the measure of

KenyaRT
Mar 20, 2017

#1**+1 **

1. Equal chords in a circle span equal arcs..........

The arc spanned by AB = 55 + 66 = 121°

And since RS = AB.....it spans the same arc RS = 121°

2. I assume you want to know m(arc) RS??? If so, it equals 360 - 280 = 80°

CPhill
Mar 20, 2017

#2**+1 **

Since the chords are the same length the arcs are the same degrees

m(arc)RS = 66+55 = 121 degrees

Your second question has a typo or something arc RQS ????? I s that supposed to be ROS ???

ElectricPavlov
Mar 20, 2017

#3

#4**+1 **

Sorry...I see now what you are asking....

If RQS is 280 degrees RS is what is lefft from 360 degrees 360-280 = 80 degrees = RSarc

ElectricPavlov
Mar 20, 2017