Unit 5 Part 1: Filling and Wrapping Guided Notes 2013 Example 3: Finding the Diameter of a Circle Lesson 1: Circles The largest tree in the United States is growing in Sequoia National Park in California. The tree is a Essential Question sequoia whose trunk is roughly circular and – How can I find the circumference and area has a circumference of 998 inches. What is the of circles? tree’s diameter? Vocabulary – Circle - Area of a Circle ____________ The area A of a circle is the _______ of and the π ________ of the radius. Radius - Formula: A = πr2 Example 4: Finding the Area of a Circle Diameter - The central performance area at a circus is a circular ring having a diameter of 42 feet. Find the area of the ring. Circumference - Your Turn: Circumference of a Circle: Find the circumference of the circle. Use . The circumference of a circle is the ________ of ____ and the ________, or twice the product of 1. 2. ____ and the ______. 3. The circumference of a circle is 22 inches long. Find the circle’s diameter. Round your answer to Formulas: C = or C = 2πr the nearest whole number. πd Example 1: Finding the Circumference of a Circle Find the circumference of the clock. Use 3.14 for 4. Find the area of the circle. Use . π. Example 2: Finding the Circumference of a Circle Find the circumference of the circle. Use for Lesson 2: Area π. Essential Question – How can I find the area of different shapes?
Unit 5 Part 1: Filling and Wrapping Guided Notes 2013 Lesson 1: Circles Essential Question – How can I find the circumference and area of circles? Vocabulary – Circle - Radius - Diameter - Circumference - Circumference of a Circle: The circumference of a circle is the ________ of ____ and the ________, or twice the product of ____ and the ______. Formulas: C = πd or C = 2πr Example 1: Finding the Circumference of a Circle Find the circumference of the clock. Use 3.14 for π. Example 2: Finding the Circumference of a Circle Find the circumference of the circle. Use for π. Example 3: Finding the Diameter of a Circle The largest tree in the United States is growing in Sequoia National Park in California. The tree is a sequoia whose trunk is roughly circular and has a circumference of 998 inches. What is the tree’s diameter? Area of a Circle The area A of a circle is the _______ of π and the ________ of the radius. Formula: A = πr2 Example 4: Finding the Area of a Circle The central performance area at a circus is a circular ring having a diameter of 42 feet. Find the area of the ring. Your Turn: Find the circumference of the circle. Use . 1. 2. 3. The circumference of a circle is 22 inches long. Find the circle’s diameter. Round your answer to the nearest whole number. 4. Find the area of the circle. Use . Lesson 2: Area Essential Question – How can I find the area of different shapes? ____________
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