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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
What is the area of the shaded sector of the circle from the given figure?
Solution:
Given,
r = 9, θ = 120°.
Definition:
A sector is a portion of a circle that is enclosed between its two radii and the arc adjoining them.
The most common sector of a circle is a semi-circle which represents half of a circle.
We know,
Area of a sector = θ/360° × πr2
Substituting the given values
Area of a sector = 120°/360° × π(9)2
So we get
Area of a sector = 1/3 × 81π
Area of a sector = 27π
Therefore, the area of the shaded sector is 27π.
What is the area of the shaded sector of the circle from the given figure?
Summary:
The area of the shaded sector of the circle from the given figure is 27π.
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