# Perimeter Calculator > Calculate the perimeter of rectangles, squares, triangles, circles, and other shapes **Category:** Math **Keywords:** perimeter, rectangle, square, triangle, circle, circumference, geometry, shape, boundary, length **URL:** https://complete.tools/perimeter-calculator ## How it calculates Here’s how the tool calculates the perimeter for different shapes: 1. **Rectangle**: P = 2 × (length + width). Here, 'length' is the longer side, and 'width' is the shorter side. 2. **Square**: P = 4 × side, where 'side' is the length of any side of the square. 3. **Triangle**: P = a + b + c, summing the lengths of all three sides. 4. **Circle**: C = 2 × π × r or C = π × d. In this case, 'r' is the radius, 'd' is the diameter (which is twice the radius), and π (pi) is about 3.14159. Each formula relates to the shape's properties, helping you find the perimeter easily based on your inputs. ## Who should use this This tool is perfect for a variety of users: - **Landscape architects** figuring out fencing needs for outdoor areas. - **Interior designers** calculating room perimeters for flooring projects. - **Construction managers** assessing site layouts. - **Art instructors** guiding students in creating scaled geometric models. - **Surveyors** measuring land boundaries for property evaluations. ## Worked examples Let’s look at some examples to see the tool in action: **Example 1**: You want to find the perimeter of a rectangle that’s 10 meters long and 5 meters wide. Plugging into the formula P = 2 × (length + width), it goes like this: P = 2 × (10 + 5) = 2 × 15 = 30 meters. So, the perimeter is 30 meters. **Example 2**: How about a circle with a radius of 4 centimeters? Using the formula C = 2 × π × r, we calculate: C = 2 × 3.14159 × 4, which gives us about 25.13 centimeters for the circumference. **Example 3**: Now, let’s calculate the perimeter of a triangle with sides measuring 7 cm, 5 cm, and 9 cm. Using P = a + b + c, we get P = 7 + 5 + 9 = 21 cm. So, the perimeter here is 21 cm. ## Limitations While this tool is handy, it has some limitations: - It assumes all input values are in the same unit; mixing units can lead to errors. - Precision depends on how many decimal places you specify, which might affect very small or large values. - It doesn’t handle irregular shapes or complex polygons that aren't covered by standard formulas. - The formulas for circles assume perfect shapes; real-world factors can affect measurements. - It doesn’t consider physical constraints like obstructions or terrain variations. ## FAQs ** **Q:** How does the tool handle different units of measurement?** **A:** You need to input all measurements in the same unit for accurate calculations. Make sure to convert any differing units before entering data. ** **Q:** Can the tool calculate the perimeter of irregular polygons?** **A:** No, this tool is designed for standard geometric shapes only. You’ll need to measure each side of an irregular polygon and add them up directly. ** **Q:** Why might the calculated perimeter differ from physical measurements?** **A:** Differences can occur due to measurement errors, rounding, or physical constraints that make accurate measurement challenging. ** **Q:** Is the tool able to calculate perimeters of three-dimensional shapes?** **A:** No, it’s specifically for two-dimensional shapes. Perimeter calculations for three-dimensional shapes aren't included. --- *Generated from [complete.tools/perimeter-calculator](https://complete.tools/perimeter-calculator)*