Find the of the shaded segment of a circle with radius 10 cm and central angle 30 degrees

25/3 pi cm^2

26.18 cm^2

Step-by-step explanation:

The area of a circle is

A = pi r^2

We are taking a sector that is 30 degrees. Since a circle is 360 degrees

The fractional part of the circle is 30/360

Multiply the fraction by the area to find the shaded area

sector area = 30/360 * pi (10) ^2

=1/12 * pi * 100

=25/3 * pi is the exact answer

or approximately 26.18 cm^2