Area of a circle : How to use it?
area online calculator that can calculate the area of a circle from its radius or from its diameter.
Syntax :
area_circle(radius) or area_circle(diameter/2)
Examples :
area_circle(`3`) returns `9pi`
Area circle calculator
The calculator has several features allowing it to make surface calculations. It is thus possible to calculate the surface of a circle, also called area of a disc through area_circle function, but also the surface of a rectangle , or the surface of a square (which is a particular rectangle).
Calculating the area of a circle can be done from its radius or its diameter.
Calculating the area of a circle from its radius
The area of a circle is the area bounded by the circle. The area of a circle is given by the formula `pi*r^2` where r represents the radius of the circle.
Thus, calculating the area of a circle with radius 3 is done by typing the following formula area_circle(`3`) , after calculation, the result `9pi` is returned.
It is also possible to make symbolic calculation and calculate the area of a circle with radius 1+x, by typing the following formula area_circle(`1+x`) , after calculation, the result is returned.
Calculating the area of a circle from its diameter
If d is the diameter of the circle and its radius r, then the radius of a circle is equal to half of its diameter which is expressed by the formula `r=d/2`. From this formula, it is possible to determine the area of a circle from its diameter.
The area of a circle can be calculated from its diameter using the formula `pi*(d/2)^2`, where d is the diameter of the circle.
Thus, calculating the area of circle with diameter 5 is done by entering the following formula area_circle(`5/2`) , after calculation, the result `25/4*pi` is returned.
Games and quizzes on calculating the areas of common geometric figures
To apply the different calculation formulas, several quizzes on the calculation of the area of the square, the rectangle, and the circle are proposed.
- Area of a square : area_square. Area online calculator that can calculate the area of a square from the length of a side.
- Area of a circle : area_circle. Area online calculator that can calculate the area of a circle from its radius or from its diameter.
- Area of a rectangle : area_rectangle. Area online calculator that can calculate the area of a rectangle from its length and its width.
- Find equation of a straight line from two points : equation_straight_line. The equation straight line calculator allows to calculate the equation of a straight line from the coordinates of two points with step by step calculation.
- Perimeter calculator : perimeter. Online perimeter calculator that calculates rectangle perimeter, square perimeter, triangle perimeter or circle perimeter.
- Perimeter of a square : perimeter_square. The online calculator allows to calculate the perimeter of a square from the length of a side.
- Perimeter of a circle : perimeter_circle. Online calculator that calculates the perimeter of a circle from its radius.
- Perimeter of a rectangle : perimeter_rectangle. The online calculator allows to calculate the perimeter of a rectangle from its length and its width.
- Pythagorean theorem calculator : pythagorean. The calculator uses the Pythagorean theorem to verify that a triangle is right-angled or to find the length of one side of a right-angled triangle.
- Calculation of the area of a geometric figure. : area. Online area calculator which allows to calculate the area of a rectangle, square, triangle or circle.
- Volume of a cube : volume_cube. The online calculator allows to calculate the volume of a cube from the length of a side.
- Volume of a rectangular parallelepiped : volume_rectangle. The online calculator allows to calculate the volume of a rectangle from its length, its width and height.
- Volume of a sphere : volume_sphere. The online calculator allows to calculate the volume of a sphere from its radius.