To find the length of an arc of a circle, we use the formula:
length of arc = (central angle/360) x 2πr
where r is the radius of the circle and π is the mathematical constant pi.
Plugging in the values given in the question, we get:
length of arc = (322/360) x 2π x 4km
Simplifying this expression, we get:
length of arc = (0.8944) x 25.1327 x 4km
length of arc = 8.9292 x 4km
length of arc = 35.7168 km
Therefore, the length of the arc is 35.7168 kilometers.
find the length of an arc of a circle whose central angle is 322 degrees and radius is 4km
1 answer