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quester [9]
2 years ago
9

Can someone help me here NONSENSE=REPORT​

Mathematics
2 answers:
musickatia [10]2 years ago
5 0

Answer:

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

<u>Name of the circle:</u>  A

<u />

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

<u>Name 4 radii:</u>  \sf AC, \quad AB, \quad AG, \quad A\,F

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.

<u>2 major arcs:</u>  \sf \widehat{CEG},\quad \widehat{BCF}<u />

<u />

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).

<u>A semi-circle:</u>  CEF

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

<u>3 minor arcs:</u>  \sf \widehat{FG}, \quad \widehat{GB}, \quad \widehat{BC}

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.

<u>3 central angles:</u>  \sf \angle F\,AG, \quad \angle GAB, \quad \angle BAC

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

<u>A diameter:</u>  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.

<u>Congruent angles:</u>  \sf \angle F\,AG, \quad \angle GAB

Adjacent arcs are arcs that have one point in common.

<u>Adjacent arcs:</u>  \sf \widehat{GB} and \sf \widehat{BC}  (they share point B)

lys-0071 [83]2 years ago
4 0

\huge \qquad \sf \: Answer

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

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