You will need

- To find the area of a circle:
- - geometric formula for finding the area of a circle S = Пхг2, where:
- - S - the area of a circle;
- - P - the number "PI", it is constant and equal to the value of 3.14;
- - r is the radius of the circle.
- To find the area of sector of a circle:
- geometric formula S=P x r2 / 360° x n°, where:
- - S - the area of a sector of a circle;
- - P - the number "PI", it is constant and equal to the value of 3.14;
- - r - the radius of the circle;
- - n - value Central angle of the sector in degrees.

Instruction

1

Measure the radius of the circle with a ruler. Calculate the value of the area of a circle by the geometric formula for finding the area of a circle (area of a circle equals the product of PI and the square of the radius of the circle).

2

Erect for finding the area of a circle the length of the radius of the circle in the square, multiply the resulting number by the number "PI" (its value is constant and equal to 3.14). So, using the formula you find the area of a circle.

3

Measure the sector angle in degrees with a protractor. The area of a circle you already know. Calculate the value of area of sector of a circle the formula for the geometric (area of sector of a circle equals the area of a circle with radius r on the ratio of sector angle n° to the angle in a full circle, i.e. 360°).

4

Divide the value of the area of a circle by 360 and multiply by the size of the sector angle in degrees. So you will find the amount of area of sector of circle degree measure of its angle.

Note

The radius is the segment connecting the center with any point on the circle(the circle). Diameter is a segment that connects two points on the circle (the circle) and passing through its center.

The circle sector is the portion of the circle bounded by an arc and two radii.

The Central angle of the sector is the angle formed by two radii.

The circle sector is the portion of the circle bounded by an arc and two radii.

The Central angle of the sector is the angle formed by two radii.

Useful advice

To calculate the radius of a circle knowing its diameter, it is possible, by dividing the value of the diameter of the circle on the number 2.