Arcs!

For this blog I created a circle and used a slider for the central angle. The central angle changes the arc length by moving the central angle.

If the radius is 4.35 and the measure of the arc is 90, then the arc length is 6.15. If the radius is 1.94 and the measure is 250, then the arc length is 3.19. If the radius is 2.69 and the measure is 250, then the arc length is 4.41.

Arc length = measure of central angle/360 x 2Pi x r

The Adventures of 00π

The Adventures of 00π #1: Live and Let Geometry

00π is left in a dire situation as the plane he is flying breaks down mid-flight.

After the plane crash (which 00π amazingly survives), he is left in an altered universe. 

The plane crash is followed by the inevitable, car chase. 00π chases down both Dr. Cat and Dr. Dog.

00π is very curious of this altered universe where Cats and Dogs drive cars and people are much smaller…

00π continues his search to little discovery until…

The Adventures of 00π #2: Rhombi are Forever

00π is realizing the power he has been given.
 Our hero now has the ability to see everything in Geometrical terms…

The first thing he notices is a simple set of congruent lines. He realized that if two lines have the same measure, then they are congruent.  He had the ability to see things around him that no one else could. 00π had The Shining.

He now had flashes of the future show in his geometric visions.

He knew that if two segments form a 90 degree angle, then they formed a right angle,
 but he didn't know what it all meant.

REDRUM. Each letter was made of lines. The door had four rectangular panels.
 The lipstick was cylindrical.

As 00π continued his ventures he came across a deadly circle. After narrowly avoiding its deadly jaws,

 he realized that if radii were in the same circle, then they are congruent.

As he continued looking at the same circle, he realized something else. 

If an angle of a circle is a central angle, then it is congruent with the corresponding arc.

He continues his journey. His Shining is growing stronger…

He notices more complex theorems.

If a parallelogram is inscribed in a circle, then it must be a…

 ELGNATCER.

4 SIDES.

2 PAIRS OF PARALLEL CONGRUENT SIDES.

ELGNATCER.

what does it mean?

00π was able to push ELGNATCER out of his mind in order to strengthen his shining. 

If chords are equidistant from the center of the circle, then they are congruent.

CONGRUENT CHORDS.

ELGNATCER.

If circles have congruent diameters, then they are congruent.

ELGNATCER.

ELGNATCER

ELGNATCER

The triangles. ELGNATCER. The triangles…

ELGNATCER

ELGNATCER

ELGNATCER

If triangles have two congruent angles, then they are similar.

The Adventures of 00π #3: He Gives Up

Our hero could not figure out what ELGNATCER meant… he got too scared. 

The Shining would not leave him. He gave up his job, but could not escape his past.

No matter where he fled to, he was made fun of for his failure.

His professional golf career never took off...

…nor his dancing career…

…or his bowling and dancing career.

He ended up begging for food.

ELGNATCER

ELGNATCER

ELGNATCER

ELGNATCER

ELGNATCER

ELGNATCER

ELGNATCER

ELGNATCER

ELGNATCER.

What does it mean?

The Adventures of 00π #4: The Emπre Strikes Back

The Shine was coming back to him stronger than ever now. 

He saw triangle measurements now.

If a right triangle has a 30/60 degree angle in it, then it is a 30-60-90 triangle.

ELGNATCER.

If a triangle is a 30-60-90 triangle, then it has measures of x, 2x, and x root 3.

ELGNATCER.

Parallel. ELGNATCER.

what does it mean?

If lines are parallel, alternate interior angles are congruent.

Alternate exterior angles are congruent.

Corresponding Angles.

Supplementary.

ELGNATCERECTANGLE

RECTANGLE.

what does it mean?

who am i?

who is 00π?

keyser soze.

Super Duper Circle Inscribing with Fun and Geogebra and Math YAY it wasalso considered HW 91 MATH FUN FUN YAYAYAYAYAYAYAYAYAYA FUN WITH MATHIS FUN geogebra is like that villain with a dark past which redeemsitself at the end of the film YAY GEODEMPTIONYAYAYAYAYAYAYYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYAYHW 91

I created this beautiful shape using the newly redeemed Geogebra. It was quite a fun experience. I drew a circle with a rectangle inscribed in it.




If a quad has 2 pairs of parallel sides, then it is a parallelogram.
If a parallelogram has a right angle, then it is a rectangle.
If a parallelogram is inscribed in a circle, then it is a rectangle.