Introduction to solve arc lengths:
The arc length is the term which we use in the geometry circles in mathematics. The arc length is nothing but the curve where it is the part of the circumference of the circle. The arc lengths in the circles are determined with the help of the example problems. Let us see about solve for arc lengths with the help of formula.
Formula and Procedure to Solve Arc Lengths:
Now we see about the formula and the procedure to solve for the arc lengths with the help of the example problems.
Formula to solve arc lengths:
The arc lengths of the circle are determined with the help of the angle values and the radius value of the circle. The arc length of the circle which can be solved as follows,
Arc length = `(theta/360)` (2πr)
Where `theta` = central angle of the circle
r = radius of the circle.
Procedure to solve for arc lengths:
The procedure with steps are given below to solve for the arc lengths
The given data of the radius and the central angle measurements are taken first.
Then, the values are substituted in the arc lengths formula.
First divide the given angle by 360 degrees and the other value of the circumference of the circle with radius value is multiplied.
Then, multiply both the values we get the result of the arc length of the circle.
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Problem to Solve for Arc Lengths:
Example:
Solve for the measure of the arc length, where measure of the radius is given as 6 cm and the central angle measurement is about 200 degrees?
Solution:
The arc lengths are calculated as follows,
Arc length = `(theta/360)` (2πr)
Arc length = `(200/360)` (2 × 3.14 × 6)
We have to determine the fraction of an angle by using the `theta/360`
Now we substitute the value in the formula we can get the length as follows,
Arc length = 0.555 × 2 × 3.14 × 6
Arc length = 0.555 × 37.68
Arc length = 20.91 cm.
The arc length is the term which we use in the geometry circles in mathematics. The arc length is nothing but the curve where it is the part of the circumference of the circle. The arc lengths in the circles are determined with the help of the example problems. Let us see about solve for arc lengths with the help of formula.
Formula and Procedure to Solve Arc Lengths:
Now we see about the formula and the procedure to solve for the arc lengths with the help of the example problems.
Formula to solve arc lengths:
The arc lengths of the circle are determined with the help of the angle values and the radius value of the circle. The arc length of the circle which can be solved as follows,
Arc length = `(theta/360)` (2πr)
Where `theta` = central angle of the circle
r = radius of the circle.
Procedure to solve for arc lengths:
The procedure with steps are given below to solve for the arc lengths
The given data of the radius and the central angle measurements are taken first.
Then, the values are substituted in the arc lengths formula.
First divide the given angle by 360 degrees and the other value of the circumference of the circle with radius value is multiplied.
Then, multiply both the values we get the result of the arc length of the circle.
My forthcoming post is on free algebra solver with steps, college algebra problem solver will give you more understanding about Algebra.
Problem to Solve for Arc Lengths:
Example:
Solve for the measure of the arc length, where measure of the radius is given as 6 cm and the central angle measurement is about 200 degrees?
Solution:
The arc lengths are calculated as follows,
Arc length = `(theta/360)` (2πr)
Arc length = `(200/360)` (2 × 3.14 × 6)
We have to determine the fraction of an angle by using the `theta/360`
Now we substitute the value in the formula we can get the length as follows,
Arc length = 0.555 × 2 × 3.14 × 6
Arc length = 0.555 × 37.68
Arc length = 20.91 cm.
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