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Perimeter, Circumference, and Area

This review covers the essential concepts of polygons, focusing on perimeter, circumference, and area. A polygon is defined as a closed plane figure made up of three or more segments, with each segment called a side and each endpoint a vertex. Key vocabulary includes diagonals, convex and concave polygons, perimeter (sum of side lengths), area (number of square units enclosed), and circumference (boundary of curved figures). Key formulas for triangles, squares, rectangles, and circles are provided along with real-world applications for calculating perimeter and area.

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Perimeter, Circumference, and Area

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  1. Perimeter, Circumference, and Area 1.7 Ms. Verdino

  2. Review of Polygons • A polygon is a closed plane figure formed by three or more segments. • Each segment is called a side. • Each endpoint of the side is called the vertex.

  3. Names of Common Polygons

  4. Key vocabulary for polygons • A diagonal is a segment that connects two nonconsecutive vertices. • A convex polygon has no diagonal with points outside the polygon. • A concave polygon has at least one diagonal with points outside the polygon.

  5. Perimeter, Circumference, and Area • The perimeterP of a polygon is the sum of the lengths of its sides. • The areaA of a polygon is the number of square units it encloses. • The circumferenceC is the enclosing boundary of a curved geometric figure.

  6. Formulas Triangle Side length a,b,c Base b, and height h Area: Perimeter: Square Side length s. Area: Perimeter: Rectangle Base b and height h Area: Perimeter: Circle Radius r and diameter d Area: Circumference:

  7. Finding the perimeter • You want to frame a picture that is 5 in by 7 in with a 1-in-wide frame. • What is the perimeter or the picture? • What is the perimeter of the outside edge of the frame?

  8. Finding the circumference and area. • The diameter of a circle is 12 cm. What is the circumference and area of the circle in terms of pi?

  9. Your turn The radius of the circle is 8 in. What is the circumference and area of the circle in terms of pi?

  10. Finding perimeter in the coordinate plane

  11. Finding perimeter in the coordinate plane

  12. Finding the area

  13. Area Addition Postulate The area of a region is the sum of the area of the nonoverlapping parts.

  14. Finding the area of the composite figure

  15. Finding the area of the composite figure

  16. Finding the area of the composite figure

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