Circles Inside Outside on Angles

What is the part of the circle highlighted in red called?

• semi-circle arc

• major arc

• minor arc

• sector

A chord is a segment that connects ___________

• the center to the endpoint

• to one point outside the circle

• a central angle

• 2 endpoints of a circle

Which is true of a minor arc?

• It forms half a circle.

• It forms a whole circle.

• It measures greater than 180 degrees. 

• It measures less than 180 degrees.

A ____ angle is an angle whose vertex is a the center of a circle.

• supplementary

• complimentary

• central

• obtuse

Tags

CCSS.HSG.C.A.2

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.A.2

The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB? (a)  

• 25 degrees

• 40 degrees

• 50 degrees

• 100 degrees

Tags

CCSS.HSG.C.A.2

𝑚∠𝐿𝐶𝑀 = ​ (a)  

𝑚∠𝐽𝐶𝑁 = ​ (b)  

m arc 𝑁̂𝑀 = ​ (c)  

𝑚 arc𝐾̂𝑀 = ​ ​ (d)  

• 55

• 105

• 75

• also 105

• 180

• 360

• 130

• also 55

• also 75

• also 180

Tags

CCSS.HSG.C.A.2

If arc LJ has a measure of 64 degrees, then ​ ​ (a)   has a measure of 64 degrees because it is a ​ (b)   . While ​ (c)   has a measure of ​ (d)   because it is an​ (e)  

• central angle

• 32 degrees

• inscribed angle.

• 128 degrees

• exterior angle

Tags

CCSS.HSG.C.A.2

Think about if the angles are equal or if they add up to 180. Solve for x. Plug it in.

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.A.2

To find an angle inside the circle you use which of the following.

• (1/2)arc

•  (1/2)(arc+arc)

• (1/2)(arc - arc)

• I don't know

Tags

CCSS.HSG.C.A.2