Geometry Calculator
Calculate area and perimeter for circles, rectangles, triangles, trapezoids, and parallelograms.
How to Calculate Area and Perimeter
- Circle Area:
π × radius² - Circle Perimeter (Circumference):
2 × π × radius - Rectangle Area:
length × width - Rectangle Perimeter:
2 × (length + width) - Triangle Area:
0.5 × base × height - Triangle Perimeter: Sum of all sides
- Trapezoid Area:
0.5 × (base1 + base2) × height - Trapezoid Perimeter: Sum of all sides
- Parallelogram Area:
base × height - Parallelogram Perimeter:
2 × (base + side)
How to Build Geometry Skills and Use Geometry in Real Life
Geometry is essential for solving real-world problems in construction, design, landscaping, and science. Here are some best practices and examples:
- Draw Diagrams: Sketch shapes and label dimensions before calculating area or perimeter.
- Use Consistent Units: Always convert measurements to the same unit system before calculating.
- Check Your Work: Double-check formulas and calculations, especially for composite shapes.
- Apply to Projects: Use geometry to estimate paint needed for a wall (rectangle), sod for a circular lawn, or fencing for a trapezoidal garden.
- Practice with Real Objects: Measure rooms, windows, or tables and calculate their area and perimeter.
Example: To tile a rectangular kitchen floor 4m by 3m, calculate area: 4 × 3 = 12 m². For a circular garden with radius 2m, area is π × 2² ≈ 12.57 m².
Geometry in Real Life
- Calculating the area of a garden or room
- Finding the circumference of a circular track
- Estimating material needed for flooring or fencing
Best Practices for Geometry Calculations
- Always use the same units for all measurements.
- Double-check your input values for accuracy.
- Use π ≈ 3.1416 for most practical calculations.
Frequently Asked Questions about Geometry
Area = π × radius². Enter the radius and the calculator will do the rest.
Area = length × width. Enter both values and the calculator will do the rest.
Area = 0.5 × base × height. Enter base and height and the calculator will do the rest.
Area = 0.5 × (base1 + base2) × height. Enter both bases and height and the calculator will do the rest.
Area = base × height. Enter base and height and the calculator will do the rest.