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š Discovering Different Shapes: A Beginner's Guide
Welcome to the fascinating world of geometry! Let's explore some basic shapes and their properties.
šµ Circles
A circle is a shape with all points equidistant from a center point. Key terms include:
- Radius (r): Distance from the center to any point on the circle.
- Diameter (d): Distance across the circle through the center ($d = 2r$).
- Circumference (C): The distance around the circle ($C = 2\pi r$).
- Area (A): The space enclosed by the circle ($A = \pi r^2$).
import math
r = 5 # Radius of the circle
area = math.pi * r**2
circumference = 2 * math.pi * r
print(f"Area: {area}")
print(f"Circumference: {circumference}")
š Squares
A square is a four-sided polygon with all sides of equal length and all angles are 90 degrees.
- Side (s): Length of one side.
- Area (A): The space enclosed by the square ($A = s^2$).
- Perimeter (P): The distance around the square ($P = 4s$).
s = 4 # Side of the square
area = s**2
perimeter = 4 * s
print(f"Area: {area}")
print(f"Perimeter: {perimeter}")
š¶ Rectangles
A rectangle is a four-sided polygon with opposite sides of equal length and all angles are 90 degrees.
- Length (l): Longer side of the rectangle.
- Width (w): Shorter side of the rectangle.
- Area (A): The space enclosed by the rectangle ($A = l \times w$).
- Perimeter (P): The distance around the rectangle ($P = 2l + 2w$).
l = 6 # Length of the rectangle
w = 3 # Width of the rectangle
area = l * w
perimeter = 2 * l + 2 * w
print(f"Area: {area}")
print(f"Perimeter: {perimeter}")
šŗ Triangles
A triangle is a three-sided polygon. There are different types of triangles:
- Equilateral: All sides are equal.
- Isosceles: Two sides are equal.
- Scalene: No sides are equal.
- Right: One angle is 90 degrees.
The area of a triangle is calculated as:
- Area (A): $A = \frac{1}{2} \times base \times height$.
base = 8 # Base of the triangle
height = 5 # Height of the triangle
area = 0.5 * base * height
print(f"Area: {area}")
⨠Other Shapes
There are many other shapes, such as pentagons (5 sides), hexagons (6 sides), and more complex polygons. Each has its own set of properties and formulas.
Understanding these basic shapes is the foundation for more advanced topics in geometry. Keep exploring and have fun!
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