Link: Another Kid Who Failed His Math Test - He might fail math in school, but like that other kid from earlier this week, he`s got a bright future in porn.

That`s not to hard a math question really. The circumference of a circle is pi times the diameter, The equilateral triangle forms 180 degrees or 1/2 a circle. The radius of the circle is half the diameter. So c = 3.1415927 * (2*r), Then divide c by half for the perimeter.

The units should not be centimetres squared - they`re looking for a perimiter, not an area.

Majored in applied mathematics. Well that`s disappointing and a poor reflection on your degree, because you should then realise that CJ`s solution is correct. The three arcs that make up the perimiter of the shaded area are parts of the circumferences of circles with centres at the vertices of the equilateral triangle.

janus_games: Then you have a perception problem, The 3 arcs (the perimeter) = half a circle and half the sides of the equilateral triangle = the radius. If you can`t see that, Then you`re staring at the thong too much.

That said, I didn`t read the problem. Heh, perimiter of the *shaded* area. I spent too much time looking at the butt. I thought someone finally made an interesting textbook.

I`d personally see it as 3*arclength, then it becomes easy to think about.

Each angle of the triangle is 60 degrees, or 1/6 the perimiter of the circle (60/360 = 1/6)

1/6 * PI*R1 + 1/6 * PI*R2 + 1/6 * PI*R3. Still since R1 = R2 = R3, it comes out to C(any)/2.

@bob You`re right, his solution`s correct, but his explanation threw me, I wasn`t paying attn to the midpoints, and tbh, I didn`t read the question right.

It does say "perimeter" but the more interesting question is the shaded area. If the equilateral triangle has vertices at the centers of the arcs, then the question becomes the easiest of the "circle packing" problems. It was shown by Gauss to be pi/12^-2, so the answer for the area would be 1 - 0.9069, or 0.0931 of the area of a unit circle.

>>Besides your formula doesn`t make any sense in this case.

Yes it does, it`s a ratio of the unit area. I can`t read those dimensions - what is that, 8cm? So pi * r^2 gives us 50.265cm^2, and 0.0931 of that would be 4.68cm^2.

@duffytoler: i know that your previous result is in term of unit circle and disregard what you think a unit circle is, the formula is still wrong. First, what do you think is the area of the triangle ? Second, add your result with 0.5*pi*(4)^2, corresponds to the area of 3 pieces of the circle. Do you get the area of the triangle ?

- He might fail math in school, but like that other kid from earlier this week, he`s got a bright future in porn.
There`s no circle.

It`s an equilateral triangle.

They give you one side.

The units should not be centimetres squared - they`re looking for a perimiter, not an area.

Majored in applied mathematics.

Well that`s disappointing and a poor reflection on your degree, because you should then realise that CJ`s solution is correct.

The three arcs that make up the perimiter of the shaded area are parts of the circumferences of circles with centres at the vertices of the equilateral triangle.

I`d personally see it as 3*arclength, then it becomes easy to think about.

Each angle of the triangle is 60 degrees, or 1/6 the perimiter of the circle (60/360 = 1/6)

1/6 * PI*R1 + 1/6 * PI*R2 + 1/6 * PI*R3. Still since R1 = R2 = R3, it comes out to C(any)/2.

It`s a woman`s butt with a string.

Not exactly brain surgery is it?

Each circle has a radius of 4 cm. Each angle of an equilateral triangle is 60 degrees. Circles have 360 degrees.

60/360 = 1/6 * circumference

C = pi* diameter

1/6 * (pi * diameter) = 1/6 * (8picm) = (4pi)/3 cm.

One side of the triangle is (4pi)/3 cm. So all 3 sides, i.e., the perimeter, is (4pi)/3 cm * 3 =

4 pi cm.

Pie?! Lets eat!

@duffytoler lol Shaded area = (sqrt3/pi - 1/2)*r^2* (area of unit circle)

No, 1 - (pi/12^-2)

lol no obviously the area depends on the radius of the circles. Besides your formula doesn`t make any sense in this case.

Damn you photoshop!

Damn you photoshop! "

It is referring to the triangle.

Yes it does, it`s a ratio of the unit area. I can`t read those dimensions - what is that, 8cm? So pi * r^2 gives us 50.265cm^2, and 0.0931 of that would be 4.68cm^2.

i know that your previous result is in term of unit circle and disregard what you think a unit circle is, the formula is still wrong.

First, what do you think is the area of the triangle ?

Second, add your result with 0.5*pi*(4)^2, corresponds to the area of 3 pieces of the circle.

Do you get the area of the triangle ?

s = r{theta} = 4pi ~ 12.5663706 cm.

.......NEEEEEEEEEERRDSSSSSS!!!!!!!!