Overlapping Arcs in a Circle

If two arcs in a circle have measures of 60 degrees and 120 degrees, what is the measure of their sum?

• 180 degrees

• 240 degrees

• 300 degrees

• 90 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

In a circle, if the measure of arc AB is 70 degrees and the measure of arc BC is 110 degrees, what is the measure of arc AC?

• 100 degrees

• 240 degrees

• 50 degrees

• 180 degrees

Tags

CCSS.HSG.C.B.5

If the measure of arc PQ is 40 degrees and the measure of arc QR is 80 degrees, what is the measure of arc PR?

• 120 degrees

• 200 degrees

• 90 degrees

• 60 degrees

Tags

CCSS.HSG.C.A.2

In a circle, if the measure of arc DE is 90 degrees and the measure of arc EF is 45 degrees, what is the measure of arc DF?

• 180 degrees

• 45 degrees

• 135 degrees

• 60 degrees

Tags

CCSS.HSG.C.B.5

Find the measure of arc RT.

• 142

• 98

• 155

• 187

Tags

CCSS.HSG.C.A.2

Arc AB and Arc BC are​ ​ (a)   . Arc AB equals ​ (b)   and Arc BC equals ​ (c)   .

• congruent

• not congruent

• 123

• 246

Tags

CCSS.HSG.C.B.5

If minor arc AC = 96° , what is the measure of ∠ ABC?

• 53°

• 64°

• 72°

• 84°

Tags

CCSS.HSG.C.A.2

Find the value of x.

• 31,3

• 8

• 16.3

• -8

Tags

CCSS.HSG.C.A.2

Use chords to solve for x

• x = 35^o

• x = 50^o

• x = 70^o

• x = 140^o

Tags

CCSS.HSG.C.A.2

Match the following

• 32^o

• measure of arc ST

• 64^o

• 58^o

• 180^o

• measure of arc RST

• 116^o

• measure of arc RS