Lecture on Circles; Inscribed Angle and Arc

An angle drawn inside a circle?

• Inscribed Angle

• Intercepted Arc

• Radius

• 90 degrees

Which arc does ∠C ​intercept?

• 
• 
• 
• 

Find the value of a. The dot represents the center of the circle.

• a=144

• a=72

• a=108

• a=36

Find the measure of b.

• b=90

• b=57.7

• b=56

• b=115

Find the measure of a.

• a=65

• a=115

• a=90

• a=57.5

Find the value of a.

• a=230

• a=132

• a=98

• a=115

The angle inscribed in a semicircle is always a ______________.

• right angle

• straight angle

• acute angle

• semicircle

opposite angles in any quadrilateral inscribed in a circle are __________ of each other.

• complements

• supplements

• congruent

• opposite

What is the difference between a central angle and an inscribed angle?

• The vertex of the central angle is at the center and the vertex of an inscribed angle is on the circle.

• The vertex of the central angle is on the circle and the vertex of an inscribed angle is at the center.

• Central angle is always half the size of the inscribed angle.

• Inscribed angle can be outside the circle.

If two inscribed angles intercept the same arc. then the angles are ________.

• congruent

• supplementary

• equal to 90°

• in love