# 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 cm2. 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 cm2, find the area of the shaded region. Round your answer to three decimal places. Q5: 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