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    Polygon Calculator: Area, Perimeter & Interior Angles Measurement Tool

    Created by Md jony islam

    Regular polygon calculator free

    Calculate polygon area, perimeter, interior angles, and side lengths. Get instant results for regular and irregular polygons with step-by-step solutions. A polygon calculator functions as a mathematical tool to generate important measurements for all kinds of polygons, from regular to irregular shapes, which include values for area size and perimeter length and interior angles and side dimension measurements. The geometric calculator enables users to input necessary information about side counts and dimensions to obtain complete polygon attribute measurements. The calculator enables accurate calculation of polygon properties through step-by-step solutions, which proves beneficial for educational purposes and engineering design and architectural planning.

    Polygon sides calculator free

    Regular Polygon Calculator

    Results

    Perimeter

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    Area

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    Interior Angle

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    Exterior Angle

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    Radius (circumscribed)

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    Radius (inscribed)

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    Visual Representation

    Formulas Used

    • Perimeter: P = n × s
    • Area: A = (n × s²) / (4 × tan(π/n))
    • Interior Angle: θᵢ = ((n - 2) × 180°) / n

    Calculation History

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    What is the Polygon Calculator?

    The Polygon Calculator functions as an advanced geometric software application that computes metric data for every type of polygon, including regular and irregular shapes. The Polygon Calculator enables students and educators, together with professionals, to achieve fast calculations of essential polygon characteristics for both area and perimeter and interior angles alongside lengths of sides.

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    Polygon measurement tool basic:

    The number of polygon sides, along with provided measurements, allows users to obtain immediate results for all calculated dimensions. The tool generates complete outcomes alongside progressive instructions, which serve students in education and tactical users while solving problems. The calculator supports the calculation process of numerous polygon types, extending from basic triangles to advanced, multiple-sided forms. The most notable functionality enables users to determine interior angles together with exterior angles as well as apothem length and circumradius for regular polygons. The calculator combines visuals with dynamical scaling to present users with clear graphical representations between different polygon measure types. The tool provides exact results through automated calculations, which serve students and engineers together with geometric analysts. The tool demonstrates concrete examples and authentic cases of polygon measurement applications throughout fields like architecture and mathematics and practical applications.

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    Frequently Asked Questions - Regular polygon Conversion FAQs:

    What is the formula for a regular polygon?

    The calculation formula for regular polygons depends on which value you seek to determine. The equation for summing interior angles requires multiplying (n - 2) by 180 degrees when considering the number of sides. The formula for calculating each interior angle requires a (n-2) × 180° / n calculation. The perimeter consists of n multiplied by the side length. The formulas work exclusively for shapes where every side and angle has equal measurements, thus qualifying them as regular polygons.

    How many sides does a regular polygon have?

    A regular polygon includes three sides or more, and this pattern continues up to any possible number of sides. The most frequent polygon shapes include triangles with three sides and squares with four sides, together with pentagons, which have five sides. Exactly equal measures apply to all sides together with all angles. Uniformity in both shape and size defines something as regular.

    What is a 5 regular polygon?

    The name for a 5-sided regular polygon is a regular pentagon. Each pentagon side is equal in length, and they present five angles that match by degree with 108 degrees. Each side, along with an angle, connects to other parts equally in this shape, which results in total symmetry. In geometry and construction, the pentagon is a standard design.

    What is the interior angle of a regular polygon?

    The interior angle measurement of regular polygons depends on the formula [(n - 2) × 180°] / n. A regular hexagon (n = 6) has 120° as the measure of its interior angle. A regular polygon is needed to apply this formula because it must have identical sides and angles.

    What is the difference between regular and irregular polygons?

    The distinct characteristics of regular polygons include completely equal angles and sides, whereas irregular polygons feature one or both of these attributes being unequal. A square represents a regular shape, while a rectangle defines an irregular shape. The symmetric structure of regular shapes makes them suitable for exams and designs due to their straightforward measurement aspects.

    About the Author

    Md Jony Islam

    Md Jony Islam: Multidisciplinary Engineer & Financial Expert:

    Md. Jony Islam is a highly skilled professional with expertise in electronics, electrical, mechanical, and civil engineering, as well as finance. Specializing in transformer service and maintenance for 33/11kV substations, he ensures reliable and efficient electrical systems. His mechanical engineering skills drive innovative designs, while his financial acumen supports effective project budgeting. With a strong foundation in civil engineering, he contributes to robust infrastructure development. Md. Jony Islam's multidisciplinary approach ensures efficiency, quality, and reliability across all projects.