C = circumference of circle
p = perimeter of square
c + p = 29
p = 29 - c
side of square = (29 - c)/4
radius of circle = c/(2pi)
a = side^2 + (pi)r^2
a = ((29 - c)/4)^2 + pi * (c/(2pi))^2
a = (1/16)(841 - 58c + c^2) + (c^2/(4pi^2)) * pi
a = 52.5625 - 3.625c + c^2/16 + c^2/(4pi)
Since the 2nd degree term has a positive coefficient is positive, this has a graph that is a parabola opening up. It has a minimum value.
We take the derivative of the area expression and set equal to zero to find the minimum circumference.
da/dc = -3.625 + c/8 + (c/(2pi)) = 0
c = 12.76
Answer: 12.76 cm
The distance between two points on a number line can be found by taking the <u>absolute value</u> of the <u>difference</u> in the coordinates.
Range and Longitude are the units that represent the coordinates in the geographic coordinate system. To make a search, use the call of a place, metropolis, state, or cope with, or click on the vicinity on the map to find lat lengthy coordinates.
A geographic coordinate machine defines -dimensional coordinates based on this planet's surface. It has an angular unit of measure, prime meridian, and datum (which includes the spheroid). As proven in the picture below, traces of longitude have X-coordinates between -a hundred and eighty and +one hundred eighty levels.
The geographic coordinate gadget is a round or ellipsoidal coordinate device for measuring and communicating positions immediately on the earth as range and longitude. It is the only, oldest, and maximum extensively used of the variety of spatial reference structures that are in use, and paperwork is the premise for most others.
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