Answer:
The value of X is 62 degrees
Explanation:
The arc length L of a circle is given by formula:
L= 2(pi)(r)X / 360 (1)
where pi = 3.14, r is the radius of the circle and X the angle that produces the arc. You want the angle X so we can simplify X in equation (1)
360L=2(pi)(r)X
360L/2(pi)(r)= X
X = 360L/2(pi)(r)
We replace the radius r=9cm the arc L = 9.7 cm and pi and obtain
X = 360* (9.7 cm)/ 2(3.14)*(9cm) = 3492/56.52 = 61.78
That rounded to nearest degree is 62 degrees.