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[tex] \huge \qquad \sf \: Answer[/tex]

Here we go ~

1. A circle can be named by their Centre, so here in the diagram it's :

  • Circle A

2. Name 4 radii :

Radii are the line segments that joins the centre and boundary of circle.

They are :

  • FA
  • GA
  • BA
  • CA

3. 2 Major arcs :

considering two points on a circle, and joining them forms a curve ( you can say part of circumference )

When we consider two points two arcs are formed and the arc with more length is known as Major Arc

That is :

  • Major arc ECF
  • Major arc BEC

4. A Semicircle :

Semicircle is special arc which is formed when two arcs formed by the points are equals to one another... it's also half the Perimeter of circle.

that is :

  • Arc CF is a Semicircle

5. 3 minor arcs :

The arc formed by two points having lesser length is known as minor arc.

that is :

  • Arc EF
  • Arc BG
  • Arc FG

6. 3 Central angles :

Central angles are angles formed by arcs on centre of the circle ~

that is :

  • Angle FAB
  • Angle BAC
  • Angle GAB

7. A diameter :

Diameter is a chord that passes through centre of the circle.

  • CF

8. Congruent Angles :

In the given figure, there are two equal/congruent angles that are ~

  • Angle BAG and Angle GAF

9. Adjacent arcs :

The arcs that have one common end point are known as Adjacent arcs ~

that are :

  • Arc FG and Arc GB

semsee45

Answer:

A circle is named by its center.  The center of the given circle is A, therefore:

Name of the circle:  A

The radius is any line segment from the center of the circle to the perimeter.

Name 4 radii:  [tex]\sf AC, \quad AB, \quad AG, \quad A\,F[/tex]

A major arc is an arc whose measure is greater than 180°.

When naming a major arc, the first point and last point are the endpoints, and we also need include the name of any point between those two endpoints.

2 major arcs:  [tex]\sf \widehat{CEG},\quad \widehat{BCF}[/tex]

A semi-circle is half a circle with an arc that measures 180°.

Its endpoints lie on the diameter of the circle.  We need three points to name a semicircle (the endpoints and a point between the endpoints).

A semi-circle:  CEF

A minor arc is an arc whose measure is less than 180°.

3 minor arcs:  [tex]\sf \widehat{FG}, \quad \widehat{GB}, \quad \widehat{BC}[/tex]

A central angle has its vertex at the center of the circle, and is formed by 2 radii.  When naming the central angle, the middle letter is the center of the circle.

3 central angles:  [tex]\sf \angle F\,AG, \quad \angle GAB, \quad \angle BAC[/tex]

The diameter is the widest part of the circle.  It is a straight line segment that passes through the center of the circle.

A diameter:  CF

Congruent angles are angles with the same measure.
On the diagram, the same angle measures are indicated by the addition of the same number of dashes on the angle sign.

Congruent angles:  [tex]\sf \angle F\,AG, \quad \angle GAB[/tex]

Adjacent arcs are arcs that have one point in common.

Adjacent arcs:  [tex]\sf \widehat{GB}[/tex] and [tex]\sf \widehat{BC}[/tex]  (they share point B)

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