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

1 Answer

1 vote

Answer:

25/3 pi cm^2

26.18 cm^2

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

User Mats Raemen
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