An arch of a bridge is designed as a rectangle surmounted by a semicircle. If the area of the archway is 100 m^2, determine the radius of the semicircle such that the perimeter of the edge has a minimum value.
I can't solve this.
From the info given I can determine what r would be of the archway. Which can only be one value if I am not mistaken since this is simple geometry. Using (pi *r^2)/2
The perimeter will then be 4r, which will provide a differential of 4, which cannot be set to 0 to get a critical point. I'm also assuming the bottom edge is not counted, but it doesn't matter.
Would the 'area of the archway' refer to the entire rectangle or just the circle as I assumed.
Hate havign my math ability being limited by my english ability. See attachment.