Arc of the circle is from the circumference of the circle, it is a portion from that even we can consider circumference as an arc
Length of an arc is calculated with the help of length of an arc calculator or Arc Length Formula. It is defined as arc length which is formed in a circle with a radius r and an angle θ
Arc length can be either measured in the degrees or unit length. It is dependent on its centre angle
Length of an arc calculator
S = 2πr θ/3600
Where S is length of the arc
r is radius of the circle
θ is the angle in the radians
Calculator is derived from the help of the centre angle and the radius of the circle. Length of the arc is represented with symbol s .We have to use the angle from the total angle of the circle from which we will derive the value θ/3600 and then use the circumference of the circle which is 2πr.It is a calculator which makes the calculation simple and fun to solve
Understand the calculator with examples
Example 1
Find the arc length of the arc, if θ = 300 and r = 10
Solution
Formula for arc length is,
Length of arc = 2πr θ/3600
Put the values of angle and the radius in the formula
= 2 × 22/7 × 10 × 300/3600
= 440/7 * 1/12
=5.2
Example 2
Find the arc length of the arc, if θ = 200 and r = 5cm
Solution
Formula for arc length is,
Length of arc = 2πr θ/3600
Put the values of angle and the radius in the formula
= 2 × 22/7 × 5 × 200/3600
= 0.004
In order to get proper Algebra answers visit online educational portals. For Logic Tamilnadu Board Sample paper you can visit any of the online education portal and In the next session we will discuss about Statistical methods to make inferences.
Length of an arc is calculated with the help of length of an arc calculator or Arc Length Formula. It is defined as arc length which is formed in a circle with a radius r and an angle θ
Arc length can be either measured in the degrees or unit length. It is dependent on its centre angle
Length of an arc calculator
S = 2πr θ/3600
Where S is length of the arc
r is radius of the circle
θ is the angle in the radians
Calculator is derived from the help of the centre angle and the radius of the circle. Length of the arc is represented with symbol s .We have to use the angle from the total angle of the circle from which we will derive the value θ/3600 and then use the circumference of the circle which is 2πr.It is a calculator which makes the calculation simple and fun to solve
Understand the calculator with examples
Example 1
Find the arc length of the arc, if θ = 300 and r = 10
Solution
Formula for arc length is,
Length of arc = 2πr θ/3600
Put the values of angle and the radius in the formula
= 2 × 22/7 × 10 × 300/3600
= 440/7 * 1/12
=5.2
Example 2
Find the arc length of the arc, if θ = 200 and r = 5cm
Solution
Formula for arc length is,
Length of arc = 2πr θ/3600
Put the values of angle and the radius in the formula
= 2 × 22/7 × 5 × 200/3600
= 0.004
In order to get proper Algebra answers visit online educational portals. For Logic Tamilnadu Board Sample paper you can visit any of the online education portal and In the next session we will discuss about Statistical methods to make inferences.
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