What is the arc length of the arc subtended in a circle with radius 6 and an angle of 7π / 8

A. 7π / 4
B. 36π
C. 126π / 4
D. 14π / 8
E. 21π / 4

First, find the fraction of the circumference represented by central angle 7pi/8:

7pi/8

  2pi

Then find the circumference; it is C = 2 pi r, or 2pi(6), or 12 pi units

Then the arc length is   7pi/8                  7

                                    * 12 pi = units, or 21/4 units, or 5 1/4 units.

                                      2pi                   16 pi

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step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)