Question

A chord AB divides a circle of radius 5 cm into
two segments. If AB subtends a central angle of
30, find the area of the minor segment.

Answer 1

the area of the minor segment is 0. 29 cm^2

How to determine the area

From the information given, we have the following parameters;

• radius, r = 5cm
• The angle is 30 degrees
• AB subtends the angle

It is important to note the formula for area of a sector is given as;

Area = πr² + θ/360° - 1/ 2 r² sin θ

The value for π = 3.142

θ = 30°

Now, let's substitute the values

Area = 3. 142 × 5² × 30/ 360 - 1/ 2 × 5² × sin 30

Find the difference

Area = 3. 142 × 25 × 1/ 12 - 1/ 2 × 25 × 1/2

Multiply through

Area = 6. 54 - 6. 25

Area = 0. 29 cm^2

The area of the minor segment is given as 0. 29 cm^2

Thus, the area of the minor segment is 0. 29 cm^2

Learn more about circles here:

https://brainly.com/question/15673093

#SPJ1