UPSKILL MATH PLUS
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Learn moreArea of circle:
The area of a circle is defined as the number of square units inside that circle. It is pi times the radius square. The degree of the circle is .
Area of circle (A) =\pi r^2 square units, where .

Area of a semicircle:
The area of a semicircle is defined as the number of square units inside that circle. It is half(1/2) pi times the radius square. The degree of the semicircle is 180°.
Area of a semicircle A=\frac{1}{2}\pi r^2 square units.
It can also be written as \frac{180^\circ}{360^\circ}\pi r^2 square units (where the degree of semicircle is 180^\circ).

Area of one-third circle:
The area of one-third circle is defined as the number of square units inside that circle. It is one by three (1/3) pi times the radius square. The degree of the one-third circle is 120°.
Are of a one - third of circle A=\frac{1}{3}\pi r^2 square units.
It can also be written as square units (where the degree of sector is ).

Area of quadrant circle:
The area of quadrant circle is defined as the number of square units inside that circle. It is one by quarter(1/4) pi times the radius square. The degree of the quadrant circle is 90°.
Area of a quadrant circle A=\frac{1}{4}\pi r^2 square units.
It can also be written as square units (where the degree of quadrant circle is ).

From the above explanation, we get the idea that the area of a sector is equal to the number of square units inside that circle. It is pi time the radius square by where .
Therefore the area of the sector of the circle square units.
Important!
If a circle of radius(r) units divided into n equal sectors, then the
area of the sector = \frac{1}{n}\times \pi r^2 square units.