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How did you identify and name the radius, diameter, and chord? How about the semicircle, minor arc, and major arc? inscribed angle and central angle?

Sagot :

CebuMathidn

Explanation:

It is important to learn the definition of each term first before we start naming them. The terms given are all found in a circle. A circle is a closed figure which is a collection of points that are equidistant from the fixed point. The fixed point is the center and the fixed distance is called the radius.

Some Linear Part of a Circle

1. Diameter

  • A diameter is a line that passes through the center of the circle.

2. Radius

  • A radius is a line that starts from the center of the circle to any point on the circle

3. Chord

  • a line segment whose endpoints both lie on the circle.

Some Arc Part of a Circle

1. Semicircle

  • An arc that is half of the circle and measures 180 degrees.

2. Minor Arc

  • An arc that is part of a circle and measures less than 180 degrees but greater than 0 degrees.

3. Major Arc

  • An arch that is part of a circle and measures greater than 180 degrees but less than 360 degrees.

Some Angular Part of a Circle

1. Inscribed Angle

  • It is the angle formed in the interior of a circle when two secant lines intersect on the circle.

2. Central Angle

  • It is an angle whose vertex is located at the center of the circle.

Since we are able to define and understand the terminologies, it is not hard for us to identify and name them. Please see the attached photo for you to be guided by the naming of the parts of a circle.

The line segment [tex]\overline{GE}[/tex] is the diameter of the circle.

The line segments [tex]\overline{HE}[/tex], [tex]\overline{HC}[/tex], [tex]\overline{HA}[/tex] and [tex]\overline{HG}[/tex] are the radius of the circle.

The line segments [tex]\overline{GE}[/tex], [tex]\overline{FE}[/tex] and [tex]\overline{FB}[/tex] are the chords of the circle.

The arcs [tex]\stackrel{\frown}{GCE}[/tex] and [tex]\stackrel{\frown}{GFE}[/tex] are the semicircles of the circle.

The arc [tex]\stackrel{\frown}{GAC}[/tex] is one of the possible minor arcs of the circle.

The arc [tex]\stackrel{\frown}{CFA}[/tex] is one of the possible major arcs of the circle.

The angle [tex]\angle{BFE}[/tex] is the inscribed angle of the circle.

The angle [tex]\angle{CHE}[/tex] is one of the central angles of the circle.

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To learn more about circles, go to:

https://brainly.ph/question/106617

https://brainly.ph/question/486679

https://brainly.ph/question/1453059

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