+0

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

+1
1112
4
+48

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
+87334
+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
+12565
+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
+48
0

well, #2 is what is the measure of ROS?

KenyaRT  Mar 20, 2017
edited by KenyaRT  Mar 20, 2017
#4
+12565
+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