# Lesson Worksheet: Area of Circular Segments: Degrees Mathematics

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

**Q1: **

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

**Q2: **

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

**Q3: **

The area of the shaded region is 20 cm^{2}.
Find the length of . Round your answer to two decimal places.

**Q4: **

In a circle with center , is a right triangle.
If the area of the triangle is
10 cm^{2},
find the area of the shaded region. Round your answer to three decimal places.

**Q5: **

Find the shaded area.

**Q6: **

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.

**Q7: **

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 .

**Q8: **

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.

**Q9: **

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.

**Q10: **

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.

- A
- B
- C
- D