PA Academy

How to Find The Center of a Circle with Unknown Center or Unknown Radius

This guide explains the methods for locating the center of a circle when both the center and radius are unknown. Learn techniques such as using a compass and ruler or employing geometric constructions to determine the center accurately. With step-by-step instructions and clear diagrams, you’ll be equipped to tackle this common geometric challenge. In conclusion, […]

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How to Construct a Triangle Equal in Area to a Given Triangle But with Different Length

In this blog post, we will explain how to construct a triangle that has the same area as a given triangle, but with different side lengths. This geometric technique highlights the flexibility of triangle properties while maintaining the area. We will provide a clear, step-by-step guide to help you accurately create the new triangle, ensuring

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How To Bisect An Angle. How To Construct The Bisector of an Angle

This guide provides a clear, step-by-step method for bisecting an angle using a compass and ruler. Learn the technique to accurately divide any given angle into two equal parts, along with helpful diagrams to illustrate each step. Mastering this construction will enhance your geometric skills and enable you to work with angles more effectively. In

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How to Construct a SQUARE Equal in Area to a Given RECTANGLE

In this blog post, we will explain how to construct a square that has the same area as a given rectangle. This construction is a valuable geometric technique for converting shapes while maintaining their area. We will provide step-by-step instructions to guide you through the process, ensuring accurate measurements and understanding of area equivalence. If

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How To Construct Angle 90, Angle 45, Angle 22.5 With A Compass, Pencil & Ruler

This guide outlines the step-by-step methods for constructing angles of 90°, 45°, and 22.5° using a compass, pencil, and ruler. Discover the techniques to create these fundamental angles accurately, along with clear diagrams to aid your understanding. By mastering these constructions, you’ll strengthen your skills in geometry and improve your precision in drawing angles. In

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How to Construct a Triangle Equal in Area to a Given Parallelogram

In this blog post, we will guide you through the steps to construct a triangle with the same area as a given parallelogram. This geometric construction demonstrates the relationship between triangles and parallelograms, highlighting the principle of area transformation. We will provide detailed, step-by-step instructions to help you achieve this with precision. If you found

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How To Construct Angle 120, 60, 30, 15 and angle 7.5 With A Compass and Ruler

This guide provides step-by-step instructions for constructing specific angles using a compass and ruler. Learn how to create angles of 120°, 60°, 30°, 15°, and 7.5° with clear diagrams and easy-to-follow methods. By mastering these constructions, you’ll enhance your geometric skills and understanding of angle relationships. In conclusion, being able to accurately construct these angles

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How to Construct a TRIANGLE Equal in Area to Any Given REGULAR POLYGON

In this blog post, we will explain how to construct a triangle that has the same area as any given regular polygon. This construction technique is useful in various geometric applications and helps illustrate the concept of area equivalence between different shapes. We will guide you step-by-step through the process, ensuring you can accurately create

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How to Construct a SQUARE Equal in Area to a Given PARALLELOGRAM

In this blog post, we will explore the method for constructing a square that has the same area as a given parallelogram. This geometric construction is fundamental for understanding the relationships between different shapes and their areas. We will provide detailed, step-by-step instructions to help you accurately create the square, ensuring you grasp the essential

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Difference Between a Cone and a Frustrum. Properties, Volume, Area (CSA & TSA)

This guide explores the key differences between a cone and a frustum, highlighting their unique properties and characteristics. Learn how to calculate the volume and surface areas (Curved Surface Area and Total Surface Area) for both shapes. With detailed explanations and comparisons, you will gain a clearer understanding of how these two geometric figures relate

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