Common Core: High School - Geometry : Angle, Circle, Perpendicular and Parallel Lines, and Line Segment Definitions: CCSS.Math.Content.HSG-CO.A.1
Study concepts, example questions & explanations for Common Core: High School - Geometry
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Example Questions
Example Question #11 : Congruence
Looking at the given clock where the radius is 
The angle between the hour and minute hand is less than 
The angle between the minute and hour hand is less than 
The angle between the minute and hour hand is less than 
None of the answers.
The angle between the hour and minute hand is less than 
The angle between the minute and hour hand is less than
This question is trying to put a mathematical definition to a real life situation. First, recall the definitions of circles and corresponding angles.
A central angle is known as the angle of a circle where the vertex of the angle is located at the center of the circle.
A circle is composed of 360 degrees.
Also recall that a straight line measures 180 degrees.
Looking at the given clock, it is seen that a straight line can be created by connecting the 12 and 6 on the clock. Since the clock reads 3:05 the angle between the hour and minute hand is less than 180 degrees. Further more, it is less than 45 degrees because the hour hand and minute hand are both between one quadrant of the circle.
Example Question #12 : Congruence
A circular pizza is cut into 
The central angle of one pizza slice is 90 degrees.
The central angle of one pizza slice is 
The central angle of one pizza slice is 
The central angle of one pizza slice is 
None of the answers
The central angle of one pizza slice is
This question is trying to put a mathematical definition to a real life situation. First, recall the definitions of circles and corresponding angles.
A central angle is known as the angle of a circle where the vertex of the angle is located at the center of the circle.
A circle is composed of 360 degrees.
Knowing these characteristics, solve for the central angle of one slice of pizza.
Therefore, the correct answer is
"The central angle of one pizza slice is 72 degrees."
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All Common Core: High School - Geometry Resources
