Area Formulas and Examples in Geometry
Learn how to find the areas of various shapes such as squares, rectangles, triangles, parallelograms, trapezoids, kites, rhombuses, and composite figures. Discover the formulas and see examples for each shape, along with explanations on calculating the area of circles. Dive into the world of geometry with clear instructions and visual aids.
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Presentation Transcript
_____(0-10 pts.) Describe how to find the areas of a square, rectangle, triangle, parallelogram, trapezoid, kite and rhombus. Give at least 3 examples of each. Area: Square: length x width rhombus: a b Rectangle: length x width Triangle: bh Paralelogram: base x hight Trapezoid: (b1 t b2 / 2) h Kite: ab
Examples 10 Area of the square is 100. 10 10 The area of the rectangle is 50. 5 5 The area of the rectangle is 25. 10
___(0-10 pts) Describe how to find the area of a composite figure. Explain what a composite figure is. Give at least 3 examples. A composite figure is a figure that is composed of 2 or more shapes or figures. To find the area of a composite figure you have to seperate the figure and with The figures seperated you find the area for each figure and then when you get The are of all the seperated figures you add the areas and then you get the Complete area of the composite figure.
examples 5 The area of the figure is 15. 10 20 The area of the figure is 35. 15 7 The area of the figure is 11 4
___(0-10 pts) Describe how to find the area of a circle. Give at least 3 examples To find the are of a circle you have to know the diameter or the radius. The radius Is the measurement of half of the diameter. The diameter is how long is the circle Frome one end of a circle to another end of the circle (across). The formula is the pi x r2
The circle has the area of 78.5 because it has a radius of 5. The radius is 10 and that makes the circle to Have a area of 314 The raduios is 2 and that makes the area of The circle be 12.56.
___(0-10 pts) Describe what a solid is. Give at least 3 examples It is a 3d figure that has sides and Faces it has area perimeter .
___(0-10 pts) Describe how to find the surface area of a prism. What is a prism? Explain what a Net is. Give at least 3 examples. The surface area of a prism is found with: 2b + Ph b is the area of the base P is the perimeter of the base. A prism is a figure that is like a 3d triangle.
___(0-10 pts) Describehow to find the surface area of a cylinder. Give at least 3 examples To find the surface are of a cylinder :Surface = 2pi radius x height 3 The area is 113.04 The area is 94.2 6 5 3
___(0-10 pts) Describe how to find the surface area of a pyramid. What is a pyramid? Give at least 3 examples. A pyramid are a square that unites the four sides with triangles . The surface area is found by Adding the area of the base to the sum of the areas of all of the triangular faces. The areas of the triangular faces will have different formulas for different shaped bases
___(0-10 pts) Describe how to find the surface area of a cone. Give at least 3 examples. The cones surface area is found with these formula: Pi r2 + pi r s
___(0-10 pts) Describe how to find the volume of a cube. Give at least 3 examples. To find the volum of a cube you have to use these formula: lenght x width x hight. Volume 45 Volume 30 2 5 3 Volume 20
___(0-10 pts) Describe Cavalieris principle. Give at least 3 examples. It si when two or three dimensional figures have the same base are and the same height they will have the same volume. Volume 30 Volume 30 Volume 30
___(0-10 pts) Describe how to find the volume of a prism. Give at least 3 examples To find the volum of a prism you have to use the formula B times H and that gives you the volume.
___(0-10 pts) Describe how to find the volume of a cylinder. Give at least 3 examples To find the volume of a cylinder you have to use these formula: Pi time r times r times height.
___(0-10 pts) Describe how to find the volume of a pyramid. Give at least 3 examples The volume of a pyramid is found by: 1/3 x B x H
___(0-10 pts) Describe how to find the volume of a cone. Give at least 3 examples The volume of a cone can be found with these formula: 1/3 x R2 x H
___(0-10 pts) Describe how to find the surface area of a sphere. Give at least 3 examples. To find the surface area of a sphere is by using these formula: 4 PI R2
___(0-10 pts) Describe how to find the volume of a sphere. Give at least 3 examples. The volume of a sphere can be found with these formula: 4/3 Pi R3
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