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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
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