In a circle a radius 25 inches, a central angle of 35 degree will intersect the circle forming an arc of length

The arc length of the circle(l) is given by:

             ....[1]

where,

r is the radius of the circle

is the angle in radian.

As per the statement:

In a circle a radius 25 inches, a central angle of 35 degree

⇒r = 25 inches

Use conversion:

1 degree = 0.0174533 radian

then

35 degree  = 0.6108655 radian

⇒ radian

Substitute these values in [1] we have;

inches

Therefore, in a circle a radius 25 inches, a central angle of 35 degree will intersect the circle forming an arc of length of 15.27 inches