Answer:
The arc length of the circle(l) is given by:
\(l = r \theta\) ....[1]
where,
r is the radius of the circle
\(\theta\) 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
⇒\(\theta = 0.6108655\) radian
Substitute these values in [1] we have;
\(l = 25 \times 0.108655 = 15.2716375\) 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
