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Area of a circle


Area of a circle is a numerical characteristic that characterizes the size of a plane bounded by a circle line. Area of a circle can be calculated using the number pi and the radius of the circle, or using other known input data.

Our calculator will help you to calculate the area of a circle for free online or to check the already performed calculations.



1

Circle Area Through Radius

Circle Area Through Radius
r - radius

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2

Circle area through diameter

Circle area through diameter
D - diameter

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3

Area of a circle along the circumference

Area of a circle along the circumference
- circumference
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4

Area of a circle through a square inscribed in a circle

Area of a circle through a square inscribed in a circle
a - side

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5

Area of the circle inscribed in a square

Area of the circle inscribed in a square
A - side

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6

Area of the circle described around an arbitrary triangle

Area of the circle described around an arbitrary triangle

This formula is applicable only if a circle can be described around a triangle, that is, all three vertices of the triangle must lie on the line of the circle. The triangle in this case can be any.

To calculate the area of a circle, first calculate the semi-perimeter of a triangle  


a - side
b - side
c - side
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7

Area of a circle described near an equilateral triangle

Area of a circle described near an equilateral triangle
a - side

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8

Area of a circle described around an equilateral triangle, calculated from the height of the triangle

Area of a circle described around an equilateral triangle, calculated from the height of the triangle
h - height

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9

Area of a circle about an isosceles triangle

Area of a circle about an isosceles triangle
a - side
b - base

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10

Area of the circle described about a right triangle

Area of the circle described about a right triangle
a - side
b - side

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11

Area of a circle inscribed in an isosceles triangle

Area of a circle inscribed in an isosceles triangle
a - side
b - base

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12

Area of a circle inscribed in an isosceles triangle, calculated on the sides of the triangle and the angle between them

Area of a circle inscribed in an isosceles triangle, calculated on the sides of the triangle and the angle between them
b - side
α - angle between parties

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13

Area of a circle inscribed in a right triangle

Area of a circle inscribed in a right triangle
a - side
b - side
c - side

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14

Area of a circle inscribed in a right triangle, calculated by the side and angle

Area of a circle inscribed in a right triangle, calculated by the side and angle
b - side
α - angle at base

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15

Area of a circle inscribed in an equilateral triangle

Area of a circle inscribed in an equilateral triangle
a - side

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16

Area of a circle inscribed in an isosceles trapezium, calculated from the base of the trapezium and the angle at the base

Area of a circle inscribed in an isosceles trapezium, calculated from the base of the trapezium and the angle at the base
b - side
α - angle at base

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17

Area of a circle described near an isosceles trapezium, calculated along the sides of the trapezium, its diagonal and base

Area of a circle described near an isosceles trapezium, calculated along the sides of the trapezium, its diagonal and base

To calculate the area of a circle, first calculate the semi-perimeter of a triangle ABC   


a - side
c - side
d - diagonal
... preparation ...



18

Area of the circle described near the rectangle

Area of the circle described near the rectangle
a - side
b - side

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19

Area of a circle described near a regular polygon

Area of a circle described near a regular polygon
a - side
N - the number of sides of the polygon

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20

Area of a circle described about a regular hexagon

Area of a circle described about a regular hexagon
a - side

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