A circle has a radius of 12 cm. find the area of the smaller segment of the circle determined by a 60 degree arc

For this case the area of the circle segment is given by:

A = (S ' / S) * (pi) * (r ^ 2)

Where,

S ' / S: relationship of arcs

r: radius of the circle

Substituting values:

A = (60/360) * (3.14) * ((12) ^ 2)

A = 75.36 cm ^ 2

Answer:

The area of the smaller segment of the circle determined by a 60 degree arc is:

A = 75.36 cm ^ 2