Search -find-the-area-of-the-largest-rectangle-that-is-a-semi-circle-of-radius

find the area of the largest rectangle that is a semi circle of radius

 
 

Top Questions

7.I am trying to figure out the optimal radius that will give the lowest surface area of a cylinder. I ...

have done the calculus which reveals that the surface area is at a minimum when height is double the radius. I am now trying to find an equation for the relationship between the amount of wasted surface area as a percentage of the minimum surface area and the ratio between height and radius. If I were to plot it on a graph, the y axis would be the percentage of excess materials needed as a percentage of the minimum possible surface area, and the x axis would be height divided by radius. Since the surface area is minimized when height=2(radius), I know that when x=2, y=0. The website https://www.datagenetics.com/blog/august12014/index.html explains what I am trying to do quite well and shows the graph below. I am trying to find the equation for this graph, but am unsure how to go about it.
View More

8.I have a doubt about on whether it is possible to integrate logarithmic spirals to find the area of certain ...

certain objects. So in this case, I derived a log spiral equation in polar coordinates to model an spiral galaxy. I plan on finding the area as well as volume of the galaxy using the function which I have derived. So is there any way, I could integrate these spiral functions to find area?
View More

1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics