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

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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step-by-step explanation: