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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.
What is the radius of a circle with a circumference of 1000m?
The radius of a circle with a circumference of 1000m is approximately 159.15 meters. This can be found using the formula C = 2πr, where C is the circumference and r is the radius. Rearranging the formula to solve for r gives r = C / (2π). Substituting the given circumference into the formula will give you the radius.
Light from a star is collected by a concave mirror How far from the mirror is the image of the star if the radius of curvature is 150 cm?
The image of the star will be 67.5 cm from the mirror because focal length is the raidus of curvature multiplied by 2 or (2)(C). So, therefore, 150 / 2 will give the focal length which would also be the answer.
What is the radius of a circle of a circumference of 121?
To find the radius of a circle with a circumference of 121, you can use the formula for the circumference of a circle: C = 2πr, where C is the circumference and r is the radius. Given that the circumference is 121, you can plug this value into the formula and solve for the radius. Dividing 121 by 2π will give you the radius of the circle, which is approximately 19.24 units.
How do you find the circumfrence of a circle if you only know the area?
Since the formula for the area of a circle is pi times the radius squared and the formula for the circumference is two times pi times the radius, you would find the circumference by first dividing by pi. This would give you the radius squared. Find the square root of this value. This will give you the length of the radius. Take this length and multiply it by two times pi.
How do you find the area of a circle without the radius and diameter?
If you know the circumference, You can figure this out:First, calculate the radius. Do this by rearranging the formula c = 2πr to r = c / 2πNow you should know the radius. Use this value to calculate the area using the formula A = π r^2
What is the circumference of a circle with 56 cm?
Well, honey, the circumference of a circle is calculated using the formula C = 2πr, where r is the radius. Since you didn't give me the radius, I can't give you the exact circumference. But if the diameter is 56 cm, then the radius would be half of that, which is 28 cm. Plug that into the formula and you'll get your answer.
How to find the radius of a circle if you onley know part of the arc?
Hi everyone, I was researching for the radius of a circle, but couldn't seem to get the correct answer from the following formula: c/2(pi)-which is really, circumference/2*(by)(pi), but I tried a different formula and it worked, but its almost the same thing but it certainly would not give you the same answer, I tried: c/(pi) then divide it by 2.This would give yo the correct answer. :)
Formula for finding the radius of a circle?
1. The radius of a circle is half of its diameter.2. The radius can also be calculated from its circumference (C).Method: Divide the circumference by Pi, this will give you the diameter. Then divide the diameter by 2 to get the radius (r).Formula: r = C/2π3. The radius can also be calculated from the area of the circle. Area = π x r2So, divide area by Pi, then the radius will be the square root of the answer.For more information, try the Related links below.
Connection between the circumference and the diameter of a circle?
Divide the diameter by 2, this will give you the radius. multiply the radius by the radius, this gives you the radius squared. Multiply the raduis squared by Pi (3.14) to get the circumference. Formula : Circumfrence = Pi X R squared so, if the diameter is 10, the radius is 5, the radius squared is 25, 25 X 3.14= circumference
What is surface of a sphere with a diameter of 12?
SA = 4πr² Plug the radius into this formula (tip: half of the diameter) Which will give u 452.16 cm2
How do you find the radius if you have the circumference?
Circumference divided by pi to find the diameter then divide that by 2 to give you answer!! Formula: R=c/pi/2 eg. circumference =60 so, 60 divided by pi = 19.098, then divide 19.098 by 2 to give you 9.549!!
What is the formula of getting a sphere?
In coordinate geometry, the following formula will give a sphere with centre (a, b, c) and radius r: (x-a)2 + (y-b)2 + (z-c)2 = r2
