Circle (with diameter)- perimeter and area
P = πd
A = π*(d2/4)
P - perimeter
A = area
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 diameter of d = 10 cm.
Calculation of the perimeter
The perimeter C is calculated using the formula:
C = π · d
Since π ≈ 3.14159, we can calculate the perimeter:
C = 3.14159 · 10
C = 31.4159 cm
Calculation of the area
The area A is calculated using the formula:
A = π · (d/2)^2
First, we calculate the radius r as half of the diameter:
r = d/2 = 10/2 = 5 cm
Now we can calculate the area:
A = 3.14159 · 5^2
A = 3.14159 · 25
A = 78.53975 cm²
Summary
Diameter of the circle: d = 10 cm
Circumference of the circle: C ≈ 31.4159 cm
Area of the circle: A ≈ 78.53975 cm²
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