What is the area of a sector with a central angle of 185 degrees and a diameter of 6.4m?

Solution:

It is given that

Central angle = 185 degrees

Diameter = 6.4 m

Radius = 6.4/2 = 3.2 m

We know that

Area of the circle A = πr²

Substituting the values

A = 3.14 × (3.2)²

A = 32.1536 m²

So the area of the sector = 185 / 360 × 32.1536

= 16.52 m²

Therefore, the area of the sector is 16.52 m².

What is the area of a sector with a central angle of 185 degrees and a diameter of 6.4m?

Summary:

The area of a sector with a central angle of 185 degrees and a diameter of 6.4m is 16.52 m².