Circle (with radius) - perimeter and area
P = 2 πr
A = πr2
A = area
P = Perimeter
d = diameter
r = radius
WHAT IS IT ?
A circle is a two-dimensional shape consisting of all points in a plane that are at a given distance, called the radius, from a fixed point known as the center. The properties of a circle include the perimeter, which is the distance around the circle, and the diameter, which is twice the length of the radius and passes through the center. All radii in a circle are equal in length. Circles are fundamental shapes in geometry and have various applications in mathematics, design, engineering, and nature.
CALCULATION:
EXAMPLE:
Let's assume we have a circle with a radius of r = 7 cm.
Calculation of the perimeter
The perimeter C is calculated using the formula:
C = 2 · π · r
Since π ≈ 3.14159, we can calculate the perimeter:
C = 2 · 3.14159 · 7
C = 43.98226 cm
Calculation of the area
The area A is calculated using the formula:
A = π · r^2
Now we can calculate the area:
A = 3.14159 · 7^2
A = 3.14159 · 49
A = 153.93804 cm²
Summary
Radius of the circle: r = 7 cm
Circumference of the circle: C ≈ 43.98226 cm
Area of the circle: A ≈ 153.93804 cm²
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