ChristopherTaylor11
• Mar 16, 2026
Area is the measure of the 2D space inside a shape. Calculating it involves using specific formulas based on the shape you're working with. Here's a breakdown:
A square has four equal sides. The formula for its area is:
Area = side × side = $s^2$
Example: If a square has a side of 5 cm:
side = 5
area = side * side
print(area) # Output: 25
The area is 25 cm².
A rectangle has two pairs of equal sides (length and width). The area is calculated as:
Area = length × width = $l × w$
Example: For a rectangle with length 8 cm and width 4 cm:
length = 8
width = 4
area = length * width
print(area) # Output: 32
The area is 32 cm².
The area of a triangle is half the product of its base and height:
Area = 1/2 × base × height = $1/2 × b × h$
Example: A triangle with a base of 10 cm and a height of 6 cm:
base = 10
height = 6
area = 0.5 * base * height
print(area) # Output: 30
The area is 30 cm².
The area of a circle is calculated using the radius (distance from the center to the edge) and π (pi, approximately 3.14159):
Area = π × radius² = $πr^2$
Example: For a circle with a radius of 7 cm:
import math
radius = 7
area = math.pi * radius**2
print(area) # Output: 153.93804002589985
The area is approximately 153.94 cm².
The area of a parallelogram is the product of its base and height, where the height is the perpendicular distance between the base and its opposite side:
Area = base × height = $b × h$
Example: A parallelogram with a base of 12 cm and a height of 5 cm:
base = 12
height = 5
area = base * height
print(area) # Output: 60
The area is 60 cm².
The area of a trapezoid is the average of the lengths of the parallel sides (a and b) multiplied by the height (the perpendicular distance between the parallel sides):
Area = 1/2 × (a + b) × h = $1/2 × (a + b) × h$
Example: A trapezoid with parallel sides of 6 cm and 8 cm, and a height of 4 cm:
a = 6
b = 8
height = 4
area = 0.5 * (a + b) * height
print(area) # Output: 28.0
The area is 28 cm².
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