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Lesson 3 Menu

Find the area of the figure. Round to the nearest tenth if necessary. 2. Find the area of the figure. Round to the nearest tenth if necessary. 3. Find the area of the figure. Round to the nearest tenth if necessary. Lesson 3 Menu. Find areas of regular polygons.

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Lesson 3 Menu

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  1. Find the area of the figure. Round to the nearest tenth if necessary. 2. Find the area of the figure. Round to the nearest tenth if necessary. 3. Find the area of the figure. Round to the nearest tenth if necessary. Lesson 3 Menu

  2. Find areas of regular polygons. • Find areas of circles. • apothem Lesson 3 MI/Vocab

  3. Lesson 3 KC1

  4. Area of a Regular Polygon Find the area of a regular pentagon with a perimeter of 90 meters. Lesson 3 Ex1

  5. Apothem:The central angles of a regular pentagon areall congruent. Therefore, the measure of each angle is or 72. is an apothem of pentagon ABCDE. It bisects and is a perpendicular bisector of . So, or 36. Since the perimeteris 90 meters, each side is 18 meters and meters. Area of a Regular Polygon Lesson 3 Ex1

  6. Write a trigonometric ratio to find the length of . Divide each side by tan . Area of a Regular Polygon Multiply each side by GF. Use a calculator. Lesson 3 Ex1

  7. Area of a Regular Polygon Area: Area of a regular polygon Simplify. ≈ 557 Answer: The area of the pentagon is about 557 square meters. Lesson 3 Ex1

  8. Find the area of a regular pentagon with a perimeter of 120 inches. To the nearest square inch. • A • B • C • D A. 890 in2 B. 1225 in2 C. 991 in2 D. 1982 in2 Lesson 3 CYP1

  9. Lesson 3 KC2

  10. An outdoor accessories company manufactures circular covers for outdoor umbrellas. If the cover is 8 inches longer than the umbrella on each side, find the area of the cover in square yards. The diameter of the umbrella is 72 inches, and the cover must extend 8 inches in each direction. So the diameter of the cover is 8 + 72 + 8 or 88 inches. Divide by 2 to find that the radius is 44 inches. Lesson 3 Ex2

  11. Area of a circle Substitution Use a calculator. The area of the cover is 6082.1 square inches. To convert to square yards, divide by 1296. Answer: The area of the cover is 4.7 square yards to the nearest tenth. Lesson 3 Ex2

  12. A swimming pool company manufactures circular covers for above ground pools. If the cover is 10 inches longer than the pool on each side, find the area of the cover in square yards. • A • B • C • D A. 31.0 yd2 B. 33.8 yd2 C. 1215.1 yd2 D. 43743.5 yd2 Lesson 3 CYP2

  13. Area of an Inscribed Polygon Find the area of the shaded region. Assume that the triangle is equilateral. Round to the nearest tenth. The area of the shaded region is the difference between the area of the circle and the area of the triangle. First, find the area of the circle. Area of a circle Substitution Use a calculator. Lesson 3 Ex3

  14. To find the area of the triangle, use properties of 30-60-90 triangles. First, find the length of the base. The hypotenuse of so RS is 3.5 and SZ . Since . Δ Area of an Inscribed Polygon Lesson 3 Ex3

  15. Next, find the height of the triangle, XS. Since m 3.5 Area of an Inscribed Polygon Area of a triangle Use a calculator. Answer: The area of the shaded region is 153.9 – 63.7 or 90.3 square centimeters to the nearest tenth. Lesson 3 Ex3

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