PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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Circumference of the circle:
The circumference of the circle is defined as the pi(π) multiply with the diameter of the circle(d). The degree of the circle is 360°.
 
Circumference of the circle = \pi\times d units (where d=2\times r).
 
= \pi\times 2\times r=2\pi r units
 
Where π=3.14.
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Length of the arc of the semicircular quadrant:
The length of the arc of the semicircular quadrant is defined as the one by two(1/2) pi(π) multiply with the diameter of the circle(d). The degree of the semicircle is 180°.
 
Circumference of the circle = \pi\times d units (where d=2\times r).
 
= \pi\times 2\times r=2\pi r units
 
Length of semicircle arc (l) = \frac{1}{2}\times 2\pi r units.
 
It can also be written as 180°360°×2πr units (where the degree of semicircle is 180°).
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Length of the arc of the one third of the circle:
The length of the arc of the one-third of the circle is defined as the one by three(1/3) pi(π) multiply with the diameter of the circle(d). The degree of the one-third of the circle is 120°.
 
Circumference of the circle = \pi\times d units (where d=2\times r).
 
= \pi\times 2\times r=2\pi r units
 
Length of the one third of the circle arc = \frac{1}{3}\times 2 \pi r units.
 
It can also be written as 120°360°×2πr units (where the degree of one third of the circle is 120°).
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Length of the arc of the circular quadrant:
The length of the arc of the circular quadrant is defined as the one by four or quarter(1/4) pi(π) multiply with the diameter of the circle(d). The degree of the arc of the circular quadrant is 90°.
 
Circumference of the circle = \pi\times d units (where d=2\times r).
 
= \pi\times 2\times r=2\pi r units
 
Length of the quadrant arc(l) = \frac{1}{4}\times 2 \pi r units.
 
It can also be written as 90°360°×2πr units (where the degree of quadrant is 90°).
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From the above explanation, we get an idea that the length of the arc is equal to the pi(π) multiply with the diameter of the circle(d) by θ°360°
Therefore the length of the arc l=θ°360°×2πr.
Important!
If a circle of radius(r) units divided into n equal sectors, then the length of arc = \frac{1}{n}\times 2\pi r units.