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How to Calculate Basic Geometric Shapes

Shapes are the fundamental basis of all theorems and relationships in geometry. Because of this, it is important to know the basic calculations involving them to make a solid foundation for more complicated operations. The most common shapes are circles, triangles, rectangles and squares. The most common measurements for these shapes are area and perimeter, or circumference in the case of circles. The relationships between these values should be memorized.

Instructions

    • 1

      Multiply the radius of a circle by two to yield its diameter. In other words, d = 2r. Multiply the diameter of a circle by pi to yield its circumference. In other words, C = pi*d. Square the radius and multiply it by pi to yield the area. In other words, A = pi*r^2.

    • 2

      Multiply the base of a triangle by its height. Then, divide that value by two to yield the triangle's area. In other words, A = (1/2)b*h. If a triangle is equilateral, then the perimeter of the triangle is equal to three times the length of one side, or P = 3*l.

    • 3

      Multiply the length of a rectangle by its width to yield its area. In other words, A = l * w. Double the value of the length of a rectangle and add it to two times the width to yield the rectangle's perimeter. In other words, A = 2l + 2w.

    • 4

      Square the side of a square to yield its area. In other words, A = l^2. Multiply the side of a square by four to yield its perimeter. In other words, P = 4*l.

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