drewboi drewboi
  • 03-08-2018
  • Mathematics
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What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4

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Numenius
Numenius Numenius
  • 03-08-2018

Formula to find the arc length is:

[tex] s=\frac{\theta}{360} 2\pi r [/tex]

Where, s= arc length,

r = radius of the circle

[tex] \theta [/tex]= central angle in degrees.

According to the given problem, [tex] \theta= 72 [/tex] and r = 4.

So, first step is to plug in these values in the above formula to get the arc length.

[tex] s=\frac{72}{360} 2\((3.14) (4) [/tex] Since π = 3.14

[tex] =\frac{1}{5} *25.12 [/tex] By simplifying.

[tex] =\frac{25.12}{5} [/tex]

So, arc length = 5.024

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