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Perimeter, Area, and Volume

Perimeter, Area, and Volume. Chapter 12. Perimeter. The distance around a closed figure. Just add ALL sides together! 15 cm 4 m 8 m 7 cm 7m Can you find the perimeter?. Check your Progress!. Think: (15 cm x 2 cm) + (7 cm x 2 cm) = P

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Perimeter, Area, and Volume

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  1. Perimeter, Area, and Volume Chapter 12

  2. Perimeter • The distance around a closed figure. • Just add ALL sides together! 15 cm 4 m 8 m 7 cm 7m Can you find the perimeter?

  3. Check your Progress! Think: (15 cm x 2 cm) + (7 cm x 2 cm) = P 30 cm + 14 cm = 44 cm 15 cm 4 m 8 m 7 cm 7m Think: 4 m + 7 m + 8 m = 19 m

  4. Area of Rectangles and Parallelograms • The number of square units needed to cover a region or a figure. 13.4 m 12 in 8.5 m 7in A = length x width A= base x height Can you find the area?

  5. Check your Progress! A = length x width A= base x height 13.4 m 12 in 8.5 m 7in 13.4 m x 8.5 m = 113.9 m 2 12 in x 7 in = 84 in2

  6. Area of Triangles A = ½ x base x height 9 cm 8 m 7.6 cm 6m Can you find the area?

  7. Calculate: 7.6 x 9 = 68.4 68.4 divided by 2 = 34.2 A=1/2 x 7.6 cm x 9 cm = 34.2 cm2 THINK: 8 x 6 = 48; divide by 2 and I have 24! A=1/2 x 6m x 8m = 24m2 Check your Progress 9cm 8m 7.6cm 6m

  8. Circumference of a Circle • The distance around a circle. • Can we use a ruler? How do we measure a circle? Why do we need to know how to measure circles? • Let’s explore! Explore Circles Activity

  9. Circumference of a Circle • Now that we have discovered the meaning of “pi”, let’s use this information to find an easier way to find the circumference of a circle! • π = 3.14 • C = π x d r = 4 ft. Can you find the circumference?

  10. Circumference of a Circle • If the radius is 4ft, then my diameter is twice as long. (8ft) • Multiply π (3.14) x 8ft • Round my answer to the nearest tenth. C = 25.1 ft r = 4 ft.

  11. Area of a Circle • A = π x r2 • r = 7 yd • Think Box! • 7 yd x 7 yd = 49 yd • 3.14 x 49 yd = 153.86 yd2

  12. A = π x r2 r = 4.2 cm A = π x r2 d = 8 ft. Area of a Circle Can you find the area?

  13. r = 4.2 cm 4.2 cm x 4.2 cm = 17.64 cm 3.14 x 17.64 cm = 55.39 cm2 d = 8 ft. ½ of 8 ft = 4 ft 4ft x 4 ft = 16ft 3.14 x 16 ft = 50.24 ft2 Check your Progress!

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