A circle's center is at (7 ,4 ) and it passes through (8 ,2 ). What is the length of an arc covering ( pi ) /3 radians on the circle?

1 Answer
Shwetank Mauria
Apr 18, 2016

Length of the arc is 2.342

Explanation:

As the circle's center is at (7,4) and it passes through (8,2), its radius is given by distance between these two points and is equal to

sqrt((8-7)^2+(2-4)^2)=sqrt(1^2+2^2)=sqrt5

As length of an arc of a circle ofradius r, covering an angle theta (in radians) is given by rtheta

Length of the arc is sqrt5xxpi/3=(2.23607xx3.14159)/3=2.342

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