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Chapter 1.7 Notes: Find Perimeter, Circumference, and Area

Chapter 1.7 Notes: Find Perimeter, Circumference, and Area. Goal: You will find dimensions of polygons. Perimeter is the distance around a figure. Circumference is the distance around a circle. Area is the amount of surface covered by a figure.

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Chapter 1.7 Notes: Find Perimeter, Circumference, and Area

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  1. Chapter 1.7 Notes: Find Perimeter, Circumference, and Area Goal: You will find dimensions of polygons.

  2. Perimeter is the distance around a figure. • Circumference is the distance around a circle. • Area is the amount of surface covered by a figure. • Perimeter and circumference are measured in units of length, such as meters (m)and feet (ft). • Area is measured in square units, such as square meters (m2)and square feet (ft2).

  3. Formulas for Perimeter, Area, and Circumference: • Square: • Perimeter (P) = 4s • Area (A) = s2 (s = side length) • Rectangle: • Perimeter (P) = 2L + 2w • Area (A) = Lw ( L = length, w = width)

  4. Triangle: • Perimeter (P) = a + b + c a b • Area (A) = ½ bh (for perimeter; side lengths of triangle a, b, c) (for area; b = base, h = height) • Circle: • Circumference ( C) = πd or C = 2πr • Area (A) = πr2 • Pi (π) is the ratio of a circle’s circumference to its diameter.

  5. Ex.1: Find the perimeter and area of the rectangular basketball court shown. Ex.2: Find the perimeter and area of the dining room shown. 12 ft 9 ft

  6. Ex.3: You are ordering circular cloth patches for your soccer team’s uniforms. Find the approximate circumference and area of the patch shown. Ex.4: Find the approximate circumference and area of the circular window shown. (d = 18 in)

  7. Find the area and perimeter of the figure. If necessary, round to the nearest tenth. Ex.5: 1.6 cm Ex.6: Triangle QRS has vertices Q(1, 2), R(4, 6), and S(5, 2). What is the approximate perimeter of triangle QRS?

  8. Ex.7: Use the diagram below to answer (a) and (b). a. Describe how to find the height from F to EG in the triangle below. b. Find the perimeter and the area of the triangle shown below.

  9. Ex.8: The base of a triangle is 28 meters. Its area is 308 square meters. Find the height of the triangle. Ex.9: The base of a triangle is 14 cm. Its area is 42 cm2. Find the height of the triangle.

  10. Ex.10: An ice-resurfacing machine is used to smooth the surface of the ice at a skating rink. The machine can resurface about 270 square yards of ice in one minute. About how many minutes does it take the machine to resurface a rectangular skating rink that is 200 feet long and 90 feet wide?

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