1. The perimeter of a polygon (or any other close up door curve, such as a circle) is the distance about the outside.

2. The area that a simple, closed, planar curve is the lot of room inside.

3. The volume the a heavy 3 D shape is the lot of room displaced by it.

some formulas for usual 2 -dimensional airplane figures and also 3 -dimensional solids are given below. The answers have actually one, two, or 3 dimensions; perimeter is measured in linear units , area is measured in square devices , and volume is measure in cubic units .

 Table 1 . Perimeter formulas form Formula Variables Square p = 4 s s is the length of the next of the square. Rectangle ns = 2 l + 2 W l and W room the lengths of the rectangle"s sides (length and also width). Triangle a + b + c a , b , and c room the side lengths. appropriate Triangle, through legs a and also b (see Pythagorean theorem ) ns = a + b + a 2 + b 2 a and b are the lengths of the two legs of the triangle one p = C = 2 π r = π d r is the radius and d is the diameter.

 Table 2. Area recipe shape Formula Variables Square A = s 2 s is the size of the side of the square. Rectangle A = together W together and also W room the lengths of the rectangle"s sides (length and also width). Triangle A = 1 2 b h b and h space the base and also height Triangle A = s ( s − a ) ( s − b ) ( s − c ) where     s = a   +   b   +   c 2 a , b , and c space the next lengths and s is the semiperimeter parallel A = b h b is the length of the base and also h is the height. Trapezoid A = b 1   +   b 2 2 h b 1 and b 2 are the lengths that the parallel sides and h the street (height) between the parallels. one A = π r 2 r is the radius.

 Table 3. Volume recipe form Formula Variables Cube V = s 3 s is the size of the side. Right rectangular Prism V = l W H together is the length, W is the width and also H is the height. Prism or Cylinder V = A h A is the area the the base, h is the height. Pyramid or Cone V = 1 3 A h A is the area the the base, h is the height. round V = 4 3 π r 3 r is the radius.

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