what is the equation to find the length of an arc?
231406
This yields the formula for the arc length L. L = r*\theta Therefore, the arc length is radius multiplied by the central angle (in radians). Now, for the area of a sector of a circle.
1143132
You can use the Distance Formula to find the length of such a line. This formula is basically the Pythagorean Theorem, which you can see if you imagine the given line segment as the hypotenuse of a right triangle. By using a basic geometric formula, measuring lines on a coordinate path becomes a relatively easy task.
1299558
The radius is half as long as the diameter, so the diameter can be thought of as 2r. Keeping this in mind, you can write down the formula for finding the circumference of a circle given the radius: C = 2πr. In this formula, "r" represents the radius of the circle.
1442573
["If you have any two points [let,(a1,b1)&(a2,b2)] on circle's diameter,expect the two points on circumference you should find the equation of diameter with-", '(x-a1)*(a1-a2)=(y-b1)*(b1-b2)', 'and then there will be two equations -', '(1)E. of circle : (x-h)^2+(y-k)^2=r^2 [let]', '(2)E. of diameter : ax+by+c=0 [let]', 'find the (x,y).']
396078
If you know the width, it's easy to find the length by rearranging this equation to get L = A ÷ W. If you know the length and want the width, rearrange to get W = A ÷ L. Example: The area of a rectangle is 20 square meters, and its width is 3 meters.
1289457
The distance from the center to a point on the circle is called a radius. Every circle has an infinite number of possible diameters. The formula for finding the diameter of a circle is two times the radius (2 * radius).
262295
At the equator, an arc-second of longitude approximately equals an arc-second of latitude, which is 1/60th of a nautical mile (or 101.27 feet or 30.87 meters).
305061
It is important to note that arc measure and arc length are two different concepts. Arc measure is specifically the degree measure of the central angle that defines the arc, while arc length is the length of the arc itself as a segment of the circumference.
67952
['Apply the equation. to find the magnitude, which is 1.4.', 'Apply the equation theta = tan–1(y/x) to find the angle: tan–1(1.0/–1.0) = –45 degrees. However, note that the angle must really be between 90 degrees and 180 degrees because the first vector component is negative and the second is positive.']
1300940
Two gears are connected by a belt. The large gear has a radius of 6 inches while the small gear has a radius of 3 inches. If a point on the small gear travels at 16 rpm, find the angular speed of the large gear. ... It swings through an angle of 11.5° Find the length of the arc it swings through in inches.
448455
Find the equation of a circle using the centre and radius. To find the equation of a circle when you know the radius and centre, use the formula ( x − a ) 2 + ( y − b ) 2 = r 2 , where represents the centre of the circle, and is the radius.
742562
In the given figure AB is a chord of a circle, with centre O, such that AB=16cm and radius of circle is 10 cm. Tangent at A and B intersect each order at P. Find the length of PA. AL2+OL2=OA2 So we get, OL=6cm Hence,tan(θ)=OAPA=OLAL (PA)=(OA)⋅ALOL Therefore, PA=80/6=40/3.
414427
Find Length of a New Line The length of the new line, between the given point and the newly-found intersection point, is the distance between the point and the original line. To find the distance, subtract the x and y values to get the x and y displacements.
569852
It is known that the arc length is equal to the circumference for an angle equal to 360 degrees or 2π radians. From this information, it can be determined that \frac{L}{\theta } = \frac{C}{2\pi}.
213797
The radius is the length from the center of a circle to the edge. Therefore, if you know the radius, multiply it by two to determine the diameter (diameter = 2 x radius).
348700
The formula to find the diameter states the relationship between the diameter and the radius. The diameter is made up of two segments that are each a radius. Therefore, the formula is: Diameter = 2 * the measurement of the radius. You can abbreviate this formula as d=2r.
282529
b. 4.1 in. The equation sin(40°) = b/20 can be used to determine the length of line segment AC.