Difference between revisions of "Arc of a circle"
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| − | [[File:arc.jpg|200px|right|link=]] | + | The part of the circumference within the two points in either directions are called its arcs.[[File:arc.jpg|200px|right|link=]] |
=== Objectives === | === Objectives === | ||
#The students learn that an arc is a part of a circle included between two distinct points on the circumference of the circle. | #The students learn that an arc is a part of a circle included between two distinct points on the circumference of the circle. | ||
| Line 11: | Line 11: | ||
#They should know that arc is part of the circumference. | #They should know that arc is part of the circumference. | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
| − | + | * Digital : Computer, geogebra application, projector. | |
| + | * Non digital : Worksheet and pencil, compass, strings | ||
| + | * Geogebra files : Arcs in a circle .ggb | ||
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
| − | * | + | ** If the circle is divided into 2 parts? |
| − | * | + | ** How many arcs are formed? |
| − | *Evaluation | + | ** Are the two arcs equal? |
| + | ** Establish minor arc(smaller arc) and major arc(larger arc) | ||
| + | ** Compare region enclosed by major arc and minor arc, which is larger? | ||
| + | ** Establish sector – major sector and minor sector | ||
| + | ** Animate the geogebra file to show a major arc becomes a minor arc. | ||
| + | ** If one is major arc, the other is a minor arc; can the two arcs be equal?What are they called? | ||
| + | ** How are the two points with respect to center of the circle when arcs are equal. | ||
| + | ** If the angle between the radii is fixed but radius of the circle is increased, what can you say about the two arcs? | ||
| + | *'''Evaluation''' | ||
#What is the longest arc of a circle called? | #What is the longest arc of a circle called? | ||
#What are the arcs called when both major and minor arcs are of same size? | #What are the arcs called when both major and minor arcs are of same size? | ||
Revision as of 15:57, 7 May 2019
The part of the circumference within the two points in either directions are called its arcs.
Objectives
- The students learn that an arc is a part of a circle included between two distinct points on the circumference of the circle.
- The students learn that the the larger arc is called major arc and the smaller one is called minor arc.
Estimated Time
10 minutes
Prerequisites/Instructions, prior preparations, if any
- The students should know to draw a circle using compass.
- They should know that arc is part of the circumference.
Materials/ Resources needed
- Digital : Computer, geogebra application, projector.
- Non digital : Worksheet and pencil, compass, strings
- Geogebra files : Arcs in a circle .ggb
Process (How to do the activity)
- If the circle is divided into 2 parts?
- How many arcs are formed?
- Are the two arcs equal?
- Establish minor arc(smaller arc) and major arc(larger arc)
- Compare region enclosed by major arc and minor arc, which is larger?
- Establish sector – major sector and minor sector
- Animate the geogebra file to show a major arc becomes a minor arc.
- If one is major arc, the other is a minor arc; can the two arcs be equal?What are they called?
- How are the two points with respect to center of the circle when arcs are equal.
- If the angle between the radii is fixed but radius of the circle is increased, what can you say about the two arcs?
- Evaluation
- What is the longest arc of a circle called?
- What are the arcs called when both major and minor arcs are of same size?