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9.4 – Perimeter, Area, and Circumference

Learn how to calculate the area and circumference of a circle, and also find the volume and surface area of a cylinder, sphere, and cone.

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9.4 – Perimeter, Area, and Circumference

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  1. 9.4 – Perimeter, Area, and Circumference Circumference and Area of a Circle r d The circumference C of a circle of diameter d is given by the formula: wherer is a radius. or The area A of a circle with radius r is given by the formula:

  2. 9.4 – Perimeter, Area, and Circumference Find the area and circumference of a circle with a radius that is 6 inches long (use 3.14 as an approximation for ). Circumference (  3.14) Circumference () C = 2  r C = 2  r C = 2 (3.14) 6 C = 2  6 C = 37.68 in C = 37.699 in Area (  3.14) Area () A =  r2 A =  r2 A =  62 A = (3.14) 62 A = 113.04 in2 A = 113.097 in2

  3. 9.5 – Space Figures, Volume, and Surface Area Volume and Surface Area Volume of Surface Area of a Right Circular Cylinder The volume V and surface area S of a right circular cylinder with base radius r and height h are given by the formulas: V = r2h and h r S = 2rh + 2r2 Find the volume and surface area of the cylinder below. V = (2)2(10) S = 2(2)(10) + 2(2)2 V = 40 S = 40 + 8 = 48 10 m 2 m V = 125.6 m3 m2 S = 150.72

  4. 9.5 – Space Figures, Volume, and Surface Area Volume and Surface Area Volume of Surface Area of a Sphere The volume V and surface area S of a sphere radius r are given by the formulas: r V = (4/3) r3 and S = 4 r2 Find the volume and surface area of the sphere below. V = (4/3)(9)3 S = 4 (9)2 9 in. V = 972 S = 324 V = 3052.08 in.3 S = 1017.36 in.2

  5. 9.5 – Space Figures, Volume, and Surface Area Volume and Surface Area Volume of Surface Area of a Right Circular Cone The volume V and surface area S of a right circular cone with base radius r and height h are given by the formulas:

  6. 9.5 – Space Figures, Volume, and Surface Area Find the volume and surface area of the cone below. V = (1/3)(3)2(4) V = 12 V = 37.68 m3 h = 4 m r = 3 m S = 15 + 9 S = 24 S = 75.36 m2

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