Suppose you decide to cut the wire into two pieces (not necessarily the same length) to shape into two circles. Write a function A ( x ) which models the total area of the two circles in terms of x , the length of one of the pieces of wire. (It may be helpful to use for a circle A = πr 2 and C = 2 πr ). Then find the length x that will minimize the total area.

Explanation:

Let the area of one circular side be given by the formula :

However, the wire is a solid cylinder, then it means that the total area is 2 × =

However, there is the surface area to consider. This is the curved area of the wire. This is given as:

The length is x.

The breadth is calculated as follows  - the length of the circle =

Then the area = lb

                        =

Therefore, the total area is given as

                       =

v 154.9= 0.9 length length s little over 154.9cm

hi there!

your question asks at which segment does freezing occur.

since we're talking about water, the freezing point of water will be 32 degrees fahrenheit or below.

hope this ! ~