Perimeter, Circumference, and Area 1.7 Ms. Verdino.

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Presentation transcript:

Perimeter, Circumference, and Area 1.7 Ms. Verdino

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.

Names of Common Polygons

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.

Perimeter, Circumference, and Area The perimeter P of a polygon is the sum of the lengths of its sides. The area A of a polygon is the number of square units it encloses. The circumference C is the enclosing boundary of a curved geometric figure.

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

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?

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?

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

Finding perimeter in the coordinate plane

Finding the area

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

Finding the area of the composite figure