Unit 4B Measure Figures Lesson 2 Area of Circles.

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Presentation transcript:

Unit 4B Measure Figures Lesson 2 Area of Circles

Lesson 2: Area of Circles Objective: Swbat find the area of a circle. Do Now: Find the radius or diameter. Diameter = 6 cm Radius = 11 ft Find the circumference of each circle. 3. 4. 5 cm 13 in

Lesson 2: Area of Circles Definition Semicircle is half of a circle.

Lesson 2: Area of Circles Activity: How to find the Area of a Circle? Identify the radius of the circle. Identify the diameter of the circle. Find the circumference of the circle. Use the Area of a Rectangle to find the Area of a Circle 1. Arrange the sectors of the circle to make a rectangle. 2. How do you find the Area of Rectangle? 3. Measure the base and height 4.. Find the Area of the Rectangle

Lesson 2: Area of Circles Use the Area of a Rectangle to find the Area of a Circle 1. Arrange the sectors of the circle to make a rectangle. 2. How do you find the Area of Rectangle? 3. Measure the base and height 4.. Find the Area of the Rectangle

Lesson 2: Area of Circles Area of a Circle Area of the Rectangle A = bh Base of Rectangle A = (1 ∙ C ) r Height of Rectangle 2 Circumference in terms of radius A = 1∙ 2∏r ∙ r 2 Simplify A = ∏r2

Lesson 2: Area of Circles The Area of a Circle equals the product of pi and the square of its radius. Area of a Circle Formula Area = Find the area of the circle: Area = π( __)2 = __π = _____ in2 3 in.

Lesson 2: Area of Circles Area of a Circle Formula Area = πr2 Find the area of the circle given a diameter: Radius = ___ = 2 Area = π( __)2 = __π = _____ in2 8 in.

Lesson 2: Area of Circles Try It! Area = ∏r2 1. 2. 5 in. 14 cm

Lesson 2: Area of Circles Try It! Area of a semicircle = ____ 1. 2. A semicircle with diameter of 6 cm.

Lesson 2: Area of Circles Real-World Problem On a basketball court, there is a semicircle above the free-throw line that has a radius of 6 feet. Find the area of the semicircle.

Lesson 2: Area of Circles Real-World Problem Find the area of the face of a quarter in millimeters.

Classwork Guided Practice # 1-5 Independent Practice #1 – 12 Problem Solving Practice #1 -6

Closure Question: How do you find the area of a circle and semicircle? Exit Ticket Homework: Practice #1 -14

Exit Ticket Find the area of a circle with a radius of 10 cm. Find the area of a circle with a diameter of 8 cm. Find the area of a semicircle with a radius of 3 cm.

Homework