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Given a length of string L equals 50 inches construct a circle and a square such that the sum of the areas is a maximum?
Use as much of the string as is possible to make the circle.
In the limit, the circumference of the circle is 50 inches and the perimeter of the square is 0. This gives a circle with an area of 198.94 sq inches and a square with an area of 0 sq inches. Any string moved from the circle to the square will reduce the total area.
What else can I help you with?
What is the number of wall logs required to construct a 60 inch high triangular log crib given the diameter of logs equals 15 inches?
4 logs
What is the circumference of a circle with the diameter 11 inches is?
The circumference of a circle with the diameter 11 inches is 34.56 inches.
What is the circumference of a circle when the diameter is 17 inches?
The circumference of a circle when the diameter is 17 inches is: 53 inches.
What is a circumference of a circle with the radius of 9 inches?
A circle with a radius of 9 inches has a circumference of 56.55 inches.
Find the length of the arc on a circle of radius r equals 16 inches intercepted by a central angle 0 theta equals 60 degrees?
The length of an arc on a circle of radius 16, with an arc angle of 60 degrees is about 16.8.The circumference of the circle is 2 pi r, or about 100.5. 60 degrees of a circle is one sixth of the circle, so the arc is one sixth of 100.5, or 16.8.
What is the area of a circle if the radius equals 5.1 inches?
A circle with a radius of 5.1 inches has an area of 81.71 square inches.
What is the area of a circle with diameter equals 12 in to the nearest whole number?
The area of a circle with diameter equals 12 inches to the nearest whole number is: 113 square inches.
What would be the radius of a circle with a diameter of 8 inches is what?
The radius of a circle is half of its diameter. Therefore, if the diameter of the circle is 8 inches, the radius would be 8 inches divided by 2, which equals 4 inches.
Area of circle with a diameter equals 12 inches to the nearest whole?
113 square inches.
What is radius of 24 inch cirle?
The radius of a circle is half of its diameter. Since the diameter of the circle is 24 inches, the radius would be 24 inches divided by 2, which equals 12 inches. Therefore, the radius of a 24-inch circle is 12 inches.
If the diameter of a circle is sixteen feet what is the value in inches?
The value of a circle could mean many things. Assuming the question is asking for the diameter of a sixteen-foot-diameter circle in inches, the diameter of the circle would be 192 inches. ---- One foot equals twelve inches [ 1 ft. = 12 in. ] Sixteen times twelve equals one-hundred ninety-two [ 16 * 12 = 192 ] Sixteen feet equals one-hundred ninety-two inches [ 16 ft. = 192 in. ]
Is it possible to draw a circle with a circumference of thirty inches inside a square of 100 inches when 3 equals pi?
Yes
Will a circle with a radius of 4 inches fit inside a circle with a diameter of 5 inches?
no because the radius is half the diameter so it must be multiplied by two in order to find the diameter of that circle which is 4 times 4 equals to 8 so the circle which has a diameter of 5 inches is much to small for a circle with a radius of 4 inches to fit.
What is the radius of 6in?
The radius of a circle is half of its diameter. If the diameter is 6 inches, then the radius would be 6 inches divided by 2, which equals 3 inches.
What is the circumference of a circle 7.5 inches in diameter?
A circle's circumference is pi times its diameter (more commonly 2*pi*radius) so 7.5 times pi equals 23.56 inches.
What is the area of 24.2 in of a circle?
To find the area of a circle, you can use the formula ( A = \pi r^2 ), where ( r ) is the radius. If the diameter of the circle is 24.2 inches, the radius is half of that, which is 12.1 inches. Plugging this into the formula, the area ( A ) is approximately ( \pi (12.1)^2 ), which equals about 460.5 square inches.
Diameter 12mm convert to inches?
The diameter of a circle represent the distance across it when divided in half. 1 millimeter equals .04 inches (rounded to one significant figure). Therefore 12 mm equals .05 inches.
