PA Academy

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

In this blog post, we will discuss the process of constructing a parallelogram that has the same area as a given triangle. This geometric construction is valuable for understanding the relationship between different shapes and their areas. We will provide a clear, step-by-step guide to ensure you can accurately create the parallelogram, demonstrating essential concepts […]

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How to Easily Calculate the Volume and Total Surface Area of a Frustrum

This guide simplifies the process of calculating the volume and total surface area of a frustum—a truncated cone or pyramid. Learn the key formulas based on the radii of the top and bottom bases and the height of the frustum. With step-by-step examples and clear explanations, you’ll be able to tackle problems involving frustums with

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How to Draw a Regular Hexagon When Given the Length Across Flat

In this blog post, we will explore the process of drawing a regular hexagon when you are provided with the length across the flats (the distance between two opposite sides). This construction is key in various geometric applications and is often used in design and architecture. We will provide a detailed, step-by-step guide to help

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How to Calculate the Volume and Surface Area of a Sphere

This guide provides a comprehensive overview of how to calculate the volume and surface area of a sphere. Discover the essential formulas using the radius, and learn how these measurements apply in various mathematical contexts. With clear examples and step-by-step instructions, you’ll gain a solid understanding of sphere-related calculations. In conclusion, mastering the calculations for

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How to Divide a Circle into 12 Equal Parts Using a PROTRACTOR

In this blog post, we will demonstrate the step-by-step process of dividing a circle into 12 equal parts using a protractor. This technique is essential for various geometric applications and can be applied in crafting, design, and technical drawings. By accurately measuring and marking angles, you will learn how to achieve precise divisions of the

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How to Calculate the Volume, Surface Area and Total Surface Area of a Cone

This guide outlines the essential formulas for calculating the volume, surface area, and total surface area of a cone. Learn how to use the radius and height to derive these measurements, along with the slant height for total surface area calculations. With clear examples and step-by-step instructions, you will be equipped to solve various geometry

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How to Draw Two Circles of Given Radii Within a Given Circle to Touch Each Other & the Given Circle

In this blog post, we will guide you through the process of drawing two circles with specified radii inside a given circle, ensuring that they touch each other as well as the outer circle. This construction illustrates the relationship between circles and is useful for various applications in design and geometry. We will provide a

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How to Calculate the Volume and Total Surface Area of a Pyramid

This guide provides a detailed explanation of how to calculate the volume and total surface area of a pyramid. Learn the key formulas based on the type of pyramid—whether it has a square, triangular, or other polygonal base. With clear examples and step-by-step instructions, you’ll be well-equipped to handle various problems related to pyramids in

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How to Calculate the Volume and Total Surface Area of a Cylinder

This guide explains the essential formulas for calculating the volume and total surface area of a cylinder. Discover how to use the radius and height to derive these measurements effectively. With step-by-step examples, you’ll gain a clear understanding of how to solve problems involving cylinders in various mathematical contexts. In summary, knowing how to calculate

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How to Draw a Circle to Touch a Point on a Given Circle and a Point Outside the Circle

In this blog post, we will explain the process of drawing a circle that touches a specific point on a given circle while also touching a point outside of it. This geometric construction demonstrates the interplay between points and circles, revealing important concepts in circle geometry. We will provide detailed, step-by-step instructions to ensure you

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