Fill in the number of sides Polygon NameNumber of Sides Triangle Heptagon Nonagon Hexagon Pentagon Dodecagon Quadrilateral Decagon Octagon 3 7 9 6 5 12.

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Presentation transcript:

Fill in the number of sides Polygon NameNumber of Sides Triangle Heptagon Nonagon Hexagon Pentagon Dodecagon Quadrilateral Decagon Octagon Find the sum of the measures of the interior angles of a Nonagon. (9 – 2)180 = 7(180) = 1, /12/08

Ch. 7-6 Areas of Polygons Area is the number of square units the figure encloses. It is flat – 2 dimensional – cm 2 Example: If you were ordering carpet for a rectangular room, you would need to know the area of the room. Important Formulas for finding area: Parallelogram: A = bh where b is the base and h is the height Triangle: A = 1/2bh where b is the base and h is the height Trapezoid: A = 1/2h(b 1 + b 2 )

Example 1: Find the area of each figures below. Use the appropriate formula. 3 cm. 7 cm. 6 cm. Area of a Triangle = ½ bh The base is 7 and the height is 3. A = ½ (7)(3) = 10.5 cm cm. 20 cm. 22 cm. Area of a Parallelogram = bh The base is 12 and the height is 20. A = (12)(20) = 240 cm. 2

Example 2: Find the area of each figure below. Use the appropriate formula. 3 m. 4 m. 6 m. Area of a Trapezoid = ½h(b 1 + b 2 ) The bases are 6 and 3 and the height is 4. A = ½ (4)(3 + 6) = 18 m. 2 Example 3: Use the area formulas to solve for each unknown below. a.) The area of a parallelogram is 221 yd. 2 Its height is 13 yd. What is the length of its corresponding base? Use the Area formula for a parallelogram, plug in what you know and solve for the unknown. 221 = 13bDivide both sides by 13 b = 17 yd.

b.) A triangle has area 85 cm.2 Its base is 5 cm. What is its height? Use the Area formula for a triangle, plug in what you know and solve for the unknown. 85 = ½(5)hMultiply 5 * 1/2 85 = 5/2hDivide by 5/2, since it is a fraction you are really multiplying by the reciprocal! 2/5 * 85 = 5/2h x 2/5 34 cm. = h

Ch. 7-7 Circumference and Area of a Circle Important formulas when dealing with circles: Circumference = diameter multiplied by pi or 3.14 C = Circumference = 2 multiplied by the radius multiplied by pi or 3.14 C = Area of a Circle = pi multiplied by the radius squared A = Parts of a Circle: Diameter Radius Chord Circumference

Example 1: Find the circumference and area of each object below. Use the formulas given. 45 cm. Find the circumference and area of the basketball hoop C = 45 * 3.14 = cm. A = 3.14 * (22.5) 2 = cm. 2 Find the circumference and area of the tire C = 12 * 3.14 = in. A = 3.14 * (6) 2 = in in.

Example 2: Find the area of each irregular figure below. You are going to have to use multiple area formulas. 10 in. 7 in. First find the area of the rectangle. A = length multiplied by width Area of the rectangle = 7 * 10 = 70 in. 2 Next find the area of the semi-circle A = Area of Semi-Circle = ½ (3.14)(5) 2 = in. 2 Last, add the two areas together: = in. 2

Example 3: Find the area of each irregular figure below. You are going to have to use multiple area formulas m m. 6.6 m. First find the area of the rectangle. A = length multiplied by width Area of the rectangle = 19.8 * 13.2 = m. 2 Next find the area of the semi-circle A = Area of Semi-Circle = ½ (3.14)(6.6) 2 = m. 2 Last need to subtract the area of the semi-circle from the area of the rectangle – = m. 2

HW – Pg. 331 PG 331 #1-4 all, 6-10 even PG 338 #4-22 even