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The radius of curvature is given by
(1)
where is the curvature. At a given point on a curve, is the radius of the osculating circle. The symbol is sometimes used instead of to denote the radius of curvature (e.g., Lawrence 1972, p. 4).
Let and be given parametrically by
(2)(3)
then
(4)
where and . Similarly, if the curve is written in the form , then the radius of curvature is given by
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What is Pi times radius times radius?
The answer is Pi times radius squared. Although you can't know anymore since you don't give what the radius is. Although, Pi can be simply referred to as 3.14
How do you find the circumference with no radius or diameter?
They would have to give you enough information to eventually get the diameter. If they gave you the area of a circle and asked for the circumference, you can determine the radius, and from the radius the diameter, and then the circumference. If they said "What is the circumference if the area of a circle is 36pi?" Area of a circle is pi*r2, which would give us a value for r = 6 Diameter is 2*r, or = 12. Circumference is d*pi, or 12pi
Can you give a Famous math problem featuring pi?
area of a circle (A), radius of circle(R): A=R^2
How do you find the diameter of a cylinder from the area of the base?
The area of the base of a cylinder = Pi times Radius squared. Diameter of a cylinder = 2 times Pi times Radius. To find the diameter derive the area of the base by Pi and then square root the answer. That will give you the value of the radius. Multiply that answer by 2 times Pi and you will have your answer.
What is radius of a 8.7 cm circle?
Oh, dude, the radius of a circle is just the distance from the center to any point on the circle. So, if you have an 8.7 cm circle, the radius is half of that, which is 4.35 cm. Like, it's just basic math, nothing too crazy.
