Main Idea and New Vocabulary Key Concept: Area of a Circle

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Presentation transcript:

Main Idea and New Vocabulary Key Concept: Area of a Circle Example 1: Find the Area of a Circle Example 2: Real-World Example Example 3: Area of Semicircles Lesson Menu

Find the areas of circles. semicircle Main Idea/Vocabulary

Key Concept

Find the Area of a Circle Find the area of the circle. Use 3.14 for . Estimate 3 × 4 × 4 = 48 A = r2 Area of a circle A ≈ 3.14 ● 42 Replace r with 4. A ≈ 3.14 ● 16 42 = 4 ● 4 = 16 A ≈ 50.24 Multiply. Answer: The area of the circle is approximately 50.24 square centimeters. Check for Reasonableness 50.24 ≈ 48  Example 1

Find the area of a circle with a radius of 20 inches. Use 3.14 for . A. 62.8 in2 B. 125.6 in2 C. 314 in2 D. 1,256 in2 Example 1 CYP

FOUNTAINS Find the area of the fountain shown. Use 3. 14 for  FOUNTAINS Find the area of the fountain shown. Use 3.14 for . Round to the nearest tenth if necessary. Estimate 3 × 3 × 3 = 27 A = r2 Area of a circle A ≈ 3.14 ● 2.62 Replace r with 2.6. A ≈ 3.14 ● 6.76 2.62 = 2.6 ● 2.6 = 6.76 A ≈ 21.2 Multiply. Example 2

Answer: The area is approximately 21.2 square meters. Check for Reasonableness 21.2 ≈ 27  Example 2

A. 44 in2 B. 154 in2 C. 176 in2 D. 616 in2 Example 2 CYP

Area of Semicircles Find the area of the semicircle. Use 3.14 for . Round to the nearest tenth if necessary. Replace r with 4.5 Example 3

Area of Semicircles A ≈ 0.5(3.14)(4.5)2 Use 3.14 for . A ≈ 31.8 Simplify. Answer: The area of the semicircle is approximately 31.8 square centimeters. Example 3

Find the area of the semicircle. Use 3. 14 for  Find the area of the semicircle. Use 3.14 for . Round to the nearest tenth if necessary. A. 25.1 ft2 B. 50.2 ft2 C. 100.5 ft2 D. 201.0 ft2 Example 3 CYP

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