Answer :
Arc length = angle/360 * pi*diameter
Length = 35/360 * pi*50
Length = 15.27 inches
Length = 35/360 * pi*50
Length = 15.27 inches
Answer:
The arc length of the circle(l) is given by:
[tex]l = r \theta[/tex] ....[1]
where,
r is the radius of the circle
[tex]\theta[/tex] 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
⇒[tex]\theta = 0.6108655[/tex] radian
Substitute these values in [1] we have;
[tex]l = 25 \times 0.108655 = 15.2716375[/tex] 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