what is the formula for calculating the length of an arc?
241359
A circle is 360° all the way around; therefore, if you divide an arc's degree measure by 360°, you find the fraction of the circle's circumference that the arc makes up. Then, if you multiply the length all the way around the circle (the circle's circumference) by that fraction, you get the length along the arc.
934439
Calculating the perimeter of a rhombus or diamond is simple because of its equal-length sides. Find the length of one of the diamond's sides. For this example, the length is 45. Multiply the length by 4 to calculate the diamond's perimeter.
518299
Let's start with Step 1. If you know that the arc is one-fourth of the circle, then you can multiply the perimeter by 1/4 (or divide by 4) to get the arc length. For example, if a sector is 1/4 of a 500 perimeter, then the arc of the sector is 500 / 4, or 125.
880103
The formula for the chord length is: 2rsin(theta/2) where r is the radius of the circle and theta is the angle from the centre of the circle to the two points of the chord.
223607
['Calculate the total distance travelled by the object - its motion is represented by the velocity-time graph below.', 'Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.', '½ × base × height.', '½ × 4 × 8 = 16 m 2', '(10 – 4) × 8 = 48 m 2']
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}.
122619
Just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet. You can also use the circumference and radius equation.
873495
['The side length of the square is the distance between the points A and B. (Or any two adjacent vertices). Here, this is 22.', 'Area is the side length times itself, or 22 x 22 = 484.', 'Perimeter is four times the side length or 4 x 22 = 88.']
394881
To find the width of a rectangle, use the formula: area = length × width. Just plug the area and length of the rectangle into the formula and solve for the width. If you don't have the area, you can use the rectangle's perimeter instead. In that case, you would use the formula: perimeter = 2 × length plus 2 × width.
951608
AC is transverse common tangent to two circles with centres P and Q and radii 6cm and 3 cm at the point A and C, respectively. If AC cuts PQ at the point B and AB = 8 cm, then the length of PQ is.
1246738
['l =', 'In other words, l is. of the circumference of the circle, which will give us the length of the arc.', '= 2r +', 'Perimeter of the sector = 2 times radius plus arc length.', '= 2r +', '= 2 x 4 + x 2 x 3.14 x 4.', 'Perimeter = 2r +', '= 2 x 7.2 + x 2 x 3.14 x 7.2.']
592435
Measure the length of the longer wall and note down the measurement in metres, e.g. 5.0m. It is simple to work out the area. Take your two measurements and calculate the following: length of shorter wall x length of longer wall – 3.2 x 5.0 = 16.0m2.
1337115
['The distance formula is really just a restatement of the Pythagorean theorem. ... ', '(change in x)2 + (change in y)2 = (distance)2 ... ', 'From there, if we solve for distance, we find:', 'D = √(Δx2 + Δy2)', 'If you have any further questions, please let me know.']
1053205
To calculate the diameter of a circle, multiply the radius by 2. If you don't have the radius, divide the circumference of the circle by π to get the diameter. If you don't have the radius or the circumference, divide the area of the circle by π and then find that number's square root to get the radius.
1455323
The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57.3 degrees (expansion at OEIS: A072097).
1196120
['d=2πr and r=12d.', 'Circumference of a circle (c)=2πr.', 'Area of a circle (A)=πr2.']
966779
(arc length) ÷ circumference = (central angle) ÷ 360° The central angle will be in degrees. This formula makes sense, if you think about it.