The circle shown has center o and radius 4. what is the area of the shaded region?

Solution:

It is given,

The un-shaded sector of the circle makes a central angle of 90°.

So, the un-shaded region is one-fourth of the total area of the circle & shaded region is three-fourth of the total area of the circle.

We know that

Area of shaded region = 3/4 (πr²)

Substituting the values

= 3/4 π × 4²

= 12π

Therefore, the area of the shaded region is 12π square units.

The circle shown has center o and radius 4. what is the area of the shaded region?

Summary:

The circle shown has center o and radius 4. The area of the shaded region is 12π square units