CANVA

Hello! It's me @fazal-qadir thanks to Sir @sergeyk for introducing another interesting topic this week.
Topic is : @SLCS23Week3 ||Geometry with GeoGebra:Circles and its elements

Construct a circle and show its main elements.

Center.

Center: In case of circle center is equal distant from all boundary of circle.

Chord:

Chord: In Chord: In the case of a circle, a chord is a line segment that connects two points on the circle excluding the diameter.

Diameter:

Diameter: In the case of circle , diameter is the line segment join two points on circle pass through the center.

Tangent:

Tangent: tangent is the line, which touch only one point of a circle.

Secent:

Secent : Secent is a line which intersect two points of a circle.

Radius:

Radius is a distance from the center to the circle's circumference.

Circumference:

Circumference: It is the boundary line of a circle.

Combine Element:

Center, Radius, Circumference, Diameter, Tangent, Secent and Chord.

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Construct circle O and chord AB on it. On this chord, construct the central angle. Place point D on the circle, and construct the inscribed angle ∠ADB on the same chord AB. Show the degree measures of these two angles (∠AOB and ∠ACB). Move point D. What conclusion can be drawn?

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I constructed a circle with center O. I draw a line segment AB , which is the required Chord AB.
Central angle is 84.4°

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I took point D in the circumference of the circle on major arc. I joined the D point with A and B.
I measured their angles. When I moved the point D which is inscribed angle ADB the value does not change. The central angle was also not changed

But when we move the Point O which is the center of the circle and also the central angle <AOB. Both values changed.
It also showing that central angle is double of the inscribed angle.

<AOB=2<ADB

Video link

https://youtube.com/shorts/eR9eF51olXY?si=Lx_jxLcIxJ6gH8c3

YouTube

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Construct segment CD. On this segment CD, as the diameter, construct a semicircle. Take point F on the semicircle and form the angle ∠CFD. Move point F. What conclusion can be drawn?

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Firstly I constructed the semi circle with the help of line segment CD . Than I apply semi circle tool to complete the semi circle.

I took point F on the semi circle and formed angle CFD. The angle is equal to 90° , it will not changed.
As we studied angle inside semi circle will always equal to 90°.

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GIF

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Construct triangle ABC. Construct two circles – the inscribed and circumscribed circles. (Do not use the "circle through three points" tool for the circumscribed circle.)

Inscribed Circles

I start with polygon, constructed the triangle ABC. first circumscribed circle. For that I need two angle bisector and one perpendicular line. For perpendicular line I need intersection point which is D. I take perpendicular line . After that I take a line segment and hide all the rays and draw inscribed circle. And delete the line segment.

Video link

[Inscribed circle/YouTube(

)

Circumscribed Circle

For this also I draw a triangle with help of polygon tool. I take two perpendicular bisector. Take the intersection point which is D . After that I apply the circle to center through option tool. That's it circumscribed circle is ready.

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Video Portion

CC/YouTube

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Use your imagination – construct something similar to this. Do you know what it is called?

As an alternative, it is possible to depict the arrangement of two (three) circles. They intersect/do not intersect or touch. Show the touch as internal and external

I don't know about this. But I tried to make one of these.

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Video Link

YouTube

Possiblity 1

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All three circles are touching each other.

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Possibility 2

Two circles Externally touching

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Two circles Internally touching

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Possibility 3

Circles Intersect

Both circles are intersecting each other.

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Circle 1 and circle 2 intersecting while circle 1 and circle 3 are touching externally

Same as circle 2 and circle 3 are intersecting each other.

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Circle 1 and circle 2 is intersecting each other , while circle 3 only touching circle 2 at one point. Same as circle 1 is not touching circle 3

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I want to invite my fellows

• @muhammad-ahmad

• @iqlima
  and

• @gondalbiya

Best Regards,