Worksheet: Area of Circular Segments: Degrees

In this worksheet, we will practice finding the area of a circular segment where angles are measured in degrees.

Q1:

The area of the shaded region is 20 cm2. Find the length of 𝐴𝑂. Round your answer to two decimal places.

Q2:

Find the area of a circular segment that has a 2 cm radius and a 120 central angle. Round your answer to three decimal places.

Q3:

Find the area of the colored segment of the circle. Round your answer to three decimal places.

Q4:

In a circle with center 𝑂, 𝐴𝑂𝐵 is a right triangle. If the area of the triangle is 10 cm2, find the area of the shaded region. Round your answer to three decimal places.

Q5:

Find the shaded area.

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