area of polygon solver
Step by step worksheet, area of polygon

Solves polygon area inscribed in a circle\[P_a=\frac{1}{2}n\cdot a\cdot r_i \]

area of polygon solver

Area of Polygon solver

Area of polygon solver solves the area of a regular polygon inscribed in a circle given the n- sides and a-length.

How To use Area of Polygon solver

Given sides and length

Enter the number of sides and length of each sides in the box marked "a" and "n"

area of polygon result

Hit the check mark to get the result

About Area of Polygon Solver

The area of a regular polygon inscribed in a circle refers to the total amount of space occupied by the polygon when each of its vertices touches the circumference of the circle. This concept is commonly used in geometry to calculate and understand the relationship between the polygon and the circle it is inscribed in.

Area of Polygon Formula

To calculate the area of polygon, consider the following factors

  • Radius of the circle

  • In-circle area

  • Area of a regular polygon inscribed in a circle

area polygon formula

How to Calculate The Area of Polygon Inscribed In a Circle

To calculate the area of a regular polygon inscribed in a circle, you can use the formula:

  • Area = (n (r^2) sin((360°) / n)) / 2

where n is the number of sides of the polygon, r is the radius of the circle, and sin() is the sine function.

Alternatively, you can also calculate the area by subtracting the area of the incircle from the area of the circle. The incircle's area can be calculated using the formula:

  • Incircle Area = (π * (r^2)) / 2

By subtracting the incircle area from the circle area, you will obtain the area of the polygon.

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