Geometry Calculator
Calculate area, perimeter, and volume of circles, rectangles, triangles, and more.
About this tool
A geometry calculator is an indispensable tool for computing the fundamental properties of shapes—area, perimeter, circumference, and volume. Whether you're designing a room, calculating construction material quantities, solving homework problems, or planning a garden layout, determining these measurements accurately saves time and prevents costly mistakes. This tool handles all common geometric shapes: circles, rectangles, triangles, ellipses, cubes, cylinders, spheres, and more.
To use the geometry calculator, select the shape you want to work with and enter the relevant dimensions (radius, diameter, side length, height, etc.). The tool instantly calculates all associated properties for that shape—for a circle it finds area and circumference; for a rectangle it computes area and perimeter; for a sphere it determines surface area and volume. Each result is displayed clearly with the exact formula used, so you understand the mathematics behind the calculation and can verify the results.
This calculator is essential for students learning spatial reasoning and formulas, professionals in construction and architecture who need quick reliable calculations, and anyone planning physical spaces or projects. Keep in mind that all calculations assume standard Euclidean geometry with flat surfaces, and results are only as accurate as your input measurements. For complex multi-shape designs or precise engineering specifications, consider combining this tool's results with dedicated CAD software.
Frequently Asked Questions
Code Implementation
import math
def circle_area(r: float) -> float:
return math.pi * r ** 2
def circle_circumference(r: float) -> float:
return 2 * math.pi * r
def rectangle_area(l: float, w: float) -> float:
return l * w
def rectangle_perimeter(l: float, w: float) -> float:
return 2 * (l + w)
def triangle_area(base: float, height: float) -> float:
return 0.5 * base * height
def triangle_area_heron(a: float, b: float, c: float) -> float:
s = (a + b + c) / 2
return math.sqrt(s * (s - a) * (s - b) * (s - c))
def sphere_volume(r: float) -> float:
return (4 / 3) * math.pi * r ** 3
def sphere_surface(r: float) -> float:
return 4 * math.pi * r ** 2
def cylinder_volume(r: float, h: float) -> float:
return math.pi * r ** 2 * h
# Examples
print(f"Circle area r=5: {circle_area(5):.4f}") # 78.5398
print(f"Sphere volume r=3: {sphere_volume(3):.4f}") # 113.0973
print(f"Triangle (Heron) 3,4,5: {triangle_area_heron(3,4,5):.4f}") # 6.0000Comments & Feedback
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