Lesson Worksheet: Area of Circular Segments: Degrees Mathematics

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

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

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

In a circle with center , 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.

Find the shaded area.

A square with side length 20 cm contains two-quarters of two identical circles with centers and . Find the area of the shaded region. Round your answer to two decimal places.

is a right triangle in a quarter of a circle with center , where and are both radii. is a diameter in a circle with center . Find the area of the shaded region given that .

is a chord in a circle with center and diameter 20 cm. If , find the area of the major segment to the nearest decimal place.

Two circles with centers and touch from outside. and , while the measures of and . Find the area of the shaded region. Round your answer to two decimal places.

A circle of center has a radius of 13 cm, , and . Find the central angle of the minor circular segment giving the answer to the nearest second.