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What should the value of pi be in taxicab geometry?
The value of pi in taxicab geometry technically does not exist as any taxicab shape would consist of right angles. A circle does not contain any right angles, therefore circles do not exist in taxicab geometry (so neither does the value pi).However, if you were to place a square around a circle with diameter 1, where each side is a tangent to the circle and then removed the corners of the square repeatedly without ever removing any or the area of the circle (see Figure 1), the value of 'pi' in that case would be 4 (as pi = diameter/circumference (or in this case perimeter)).Figure 1Here the problem arises, as perimeter and circumference are not exactly the same thing. Circumference only pertains to a circle (and circles do not exist in taxicab geometry) whereas perimeter pertains to any geometric shape (whether in taxicab geometry or Euclidean geometry).
What is the piston area of a cylinder bore of 2 inches?
Area = (Pi/4)*(dia2) = (Pi/4)*22 = (Pi/4)*4 = Pi sq.in = 3.1416 square inches.
How do you find square footage from circumference?
The circumference of a circle is equal to C = pi * diameterThe area of of a circle is equal to A = pi * radius squared, where the radius is 1/2 the diameter.So the formula for finding the area would be A = C2/4 pi(circumference squared divided by 4 pi).ExampleA circle 2 meters wide has a circumference of 2 pi and a radius 1 meter.A = pi r2 = 3.1416 m2A = c2 / 4 pi = (2 pi)2 / 4 pi = 4 pi2 / 4 pi = 3.1416 m2
How do you find the radius of a sphere given the surface area?
If the surface area of a sphere is 16 m2, find the radius.4 pi r2 | 4 pi = SA | 4 picross out 4 pi till left with r2r2 = SA |4 pi./r = ./SA|4 pir = ./SA|4 pir = ./16| 4 pi= 1.13m./ means root| means divided or over
What does obtuse mean in geometry?
If you're referring to an obtuse angle, it is an angle greater than 90 degrees (pi/2 radians).
