Introduction to arc length chord:
The arc length and the chord are the terms found in the circle parts where the arc is the curved and a part of the circle. The chord is nothing but the line containing the two end points which lies on the circle. The arc in the circle has two parts namely the major arc and the minor arc. The arc length can be determined with the help of the radius and the central angles. Let us see about the arc length and chord.
About Arc Length and the Chord:
The arc length of the circle are calculated with the help of the central angle values and the radius value of the circle. The arc length of the circle are found with the help of formula as follows,
Arc length of circle = `(theta/360)` × (2pr)
Where `theta` = central angle of the circle
r = radius of the circle.
The length of the chord can be determined by using the formula `2(r^(2)-d^(2))^((1)/(2))`
I am planning to write more post on geometry problems, free tutoring. Keep checking my blog.
Problems on Arc Length Chord:
Example 1:
Calculate the chord length of the circle that has the radius measure is about 8 cm that is 5 units from the middle.
Solution:
Now we have to find the length by using the formula as follows,
`2(r^(2)-d^(2))^((1)/(2))`
Length of the chord = `2(8^(2)-5^(2))^((1)/(2))`
= `2(64 - 25)^((1)/(2))`
= `2(39)^((1)/(2))`
= `2 xx 6.24`
= 5.28
Example 2:
Find the arc length of the curve in the circle, where the radius measurement is about 11 cm and the central angle measurement is about 80 degrees?
Solution:
The arc length are determined as follows,
Arc length = `(theta/360)` × (2pr)
Arc length = `(80/360)` × (2 × 3.14 × 11)
We have to find the fraction of an angle by using the formula as `theta/360`
Let us substitute the value in the formula, then we get the value as
Arc length = 0.222 × 69.08
Arc length = 15.33 cm
My Previous Blog :- http://freemathproblem.blogspot.in/2012/10/multiplying-numbers-with-exponents.html
The arc length and the chord are the terms found in the circle parts where the arc is the curved and a part of the circle. The chord is nothing but the line containing the two end points which lies on the circle. The arc in the circle has two parts namely the major arc and the minor arc. The arc length can be determined with the help of the radius and the central angles. Let us see about the arc length and chord.
About Arc Length and the Chord:
The arc length of the circle are calculated with the help of the central angle values and the radius value of the circle. The arc length of the circle are found with the help of formula as follows,
Arc length of circle = `(theta/360)` × (2pr)
Where `theta` = central angle of the circle
r = radius of the circle.
The length of the chord can be determined by using the formula `2(r^(2)-d^(2))^((1)/(2))`
I am planning to write more post on geometry problems, free tutoring. Keep checking my blog.
Problems on Arc Length Chord:
Example 1:
Calculate the chord length of the circle that has the radius measure is about 8 cm that is 5 units from the middle.
Solution:
Now we have to find the length by using the formula as follows,
`2(r^(2)-d^(2))^((1)/(2))`
Length of the chord = `2(8^(2)-5^(2))^((1)/(2))`
= `2(64 - 25)^((1)/(2))`
= `2(39)^((1)/(2))`
= `2 xx 6.24`
= 5.28
Example 2:
Find the arc length of the curve in the circle, where the radius measurement is about 11 cm and the central angle measurement is about 80 degrees?
Solution:
The arc length are determined as follows,
Arc length = `(theta/360)` × (2pr)
Arc length = `(80/360)` × (2 × 3.14 × 11)
We have to find the fraction of an angle by using the formula as `theta/360`
Let us substitute the value in the formula, then we get the value as
Arc length = 0.222 × 69.08
Arc length = 15.33 cm
My Previous Blog :- http://freemathproblem.blogspot.in/2012/10/multiplying-numbers-with-exponents.html
