1 / 25

Mastering Geometry: Area Formulas for Rectangles, Parallelograms, Triangles, and More

Learn about the formulas for finding the area of rectangles, parallelograms, triangles, trapezoids, kites, regular polygons, circles, sectors, segments, and solids like rectangular prisms, cylinders, pyramids, and cones. Understand concepts such as bases, heights, apothem length, radius, and slant height. Practice calculating areas with step-by-step examples and explore total surface area calculations. Enhance your geometry skills and solve various geometric problems efficiently.

vanauken
Download Presentation

Mastering Geometry: Area Formulas for Rectangles, Parallelograms, Triangles, and More

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. LESSON 9.1 • Areas of Rectangles and Parallelograms

  2. AREA OF A RECTANGLE C-81: The area of a rectangle is given by the formula A=bh. Where b is the length of the base and h is the height.

  3. AREA OF A PARALLELOGRAM C-82: The area of a parallelogram is given by the formula A=bh. Where b is the length of the base and h is the height of the parallelogram.

  4. LESSON 9.2 • Areas of Triangles, Trapezoids and Kites

  5. AREA OF TRIANGLES C-83: The area of a triangle is given by the formula . Where b is the length of the base and h is the height (altitude) of the triangle.

  6. AREA OF TRAPEZOIDS C-84: The area of a trapezoid is given by the formula . Where the b's are the length of the bases and h is the height of the trapezoid.

  7. AREA OF KITES C-85: The area of a kite is given by the formula . Where the d's are the length of the diagonals of the triangle.

  8. LESSON 9.4 • Areas of Regular Polygons

  9. AREA OF REG. POLYGONS • A regular n-gon has "n" sides and "n" congruent triangles in its interior. • The formula for area of a regular polygon is derived from theses interior congruent triangles. • If you know the area of these triangles will you know the area of the polygon?

  10. FORMULA TO FIND AREA OF A REGULAR POLYGON n= # of sides a = apothem length s = sides length

  11. FORMULA TO FIND AREA OF A REGULAR POLYGON C-86: The area of a regular polygon is given by the formula , where a is the apothem (height of interior triangle), s is the length of each side, and n is the number of sides the polygon has. Because the length of each side times the number of sides is the perimeter, we can say and .

  12. LESSON 9.5 • Areas of Circles

  13. AREA OF A CIRCLE C-87: The area of a circle is given by the formula , where A is the area and r is the radius of the circle.

  14. LESSON 9.6 • Area of Pieces of Circles

  15. SECTOR OF A CIRCLE • A sector of a circle is the region between two radii of a circle and the included arc. • Formula:

  16. AREA OF SECTOR EXAMPLE • Find area of sector.

  17. SEGMENT OF A CIRCLE • A segment of a circle is the region between a chord of a circle and the included arc. • Formula:

  18. SEGMENT OF A CIRCLE EXAMPLE • Find the area of the segment.

  19. ANNULUS • An annulus is the region between two concentric circles. • Formula:

  20. LESSON 9.7 • Surface Area

  21. TOTAL SURFACE AREA (TSA) • The surface area of a solid is the sum of the areas of all the faces or surfaces that enclose the solid. • The faces include the solid's top and bottom (bases) and its remaining surfaces (lateral surfaces or surfaces).

  22. TSA OF A RECTANGULAR PRISM • Find the area of the rectangular prism.

  23. TSA OF A CYLINDER • Formula: • Example:

  24. TSA OF A PYRAMID • The height of each triangular face is called the slant height. • The slant height is usually represented by "l" (lowercase L). Example:

  25. TSA OF A CONE • Formula: • Example:

More Related