Thursday

April 2, 2015

April 2, 2015

Posted by **Ce** on Saturday, September 4, 2010 at 12:23pm.

- Precalculus -
**bobpursley**, Saturday, September 4, 2010 at 1:23pmarea= PI*(L/2)^2 + area of triangle.

Well, it turns out there is a neat formula

area= sqrt(s(s-a)(s-b)(s-c)) where s is the semi perimeter, and a,b,c are sides.

s= 1/2 (3T) where T is triangle side

so areatriangle= sqrt(3T/2)(3T/2-T)^3

= sqrt(3T/2 * T^3/8)=sqrt(3T^4/16)

= T^2/4 * sqrt3

so finally, area total=

PI (L/2)^2+ T^2/4 sqrt3

where 3T+PiL= 200cm

or Area=1/4PI* (200-3T)^2+T^2/4 sqrt4

check that.

Now with calculus, you take the derivative of area, set to zero, and solve for T, then L.

I assume you have not had this, then plot the parabola, find its maximum, and the corresponding T.

Knowing T, cut three pieces T length, adn the remainder Pi*L is the circle perimeter.

check my work.

**Answer this Question**

**Related Questions**

math - a piece of wire 24 ft. long is cut into two pieces. one piece is made ...

Calculus - a piece of wire 12 ft. long is cut into two pieces. one piece is made...

Math - A piece of wire 12 m long is cut into 2 pieces. One piece is bent into ...

Math - A piece of wire of 14 meters long is cute into 2 pieces. One piece is ...

math - a piece of wire 12 meters long is cut into two pieces.one piece is bent ...

Calculus - A piece of wire 40 m long is cut into two pieces. One piece is bent ...

Pre algebra - 25ft piece wire cut into 2 pieces one piece is 19ft shorter than ...

Calculus - A piece of wire 40 m long is cut into two pieces. One piece is bent ...

geometry - how many inches long is the radius of the largest circle that can fit...

pre calculus - A wire 10m long is cut into 2 pieces. one piece will be cut into ...