Circle Notes. Circumference and Area of Circles
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1 Love of Learning Educational Services Bringing Curiosity, Relevance, and Enjoyment to the Math Classroom Circle Notes Circumference and Area of Circles Guided note taking pages for calculating circumference and area of circles. /13/011
2 Circle Notes Parts of a circle: Area center radius diameter Circumference Vocabulary: diameter line segment that goes from edge to edge and through the center of a circle radius line segement that goes from the center to the edge of a circle Circumference the distance around the outside of the circle Area the measure of the inside of a circle (always measured in square units) Pi the ratio of the Circumference to the diameter of the circle is the symbol for Pi Vocabulary: C d Pi is approximately 3.14 because it takes a little more than 3 diameters to go around the Circumference of any circle. Special Relationships within a Circle: The diameter is the radius. The radius is the diameter. The Circumference is about the diameter. The diameter is the Circumference. The Circumference is about the radius. The radius is about the Circumference.
3 Calculating Circumference If we know the radius or the diameter of a circle, we can find the Circumference. Circumference Formulas C = d or C = 3.14 r Sample Problems: 1 5 in 1. Write the formula.. Plug in the numbers. 3. Multiply to get the answer. 4. Label the answer with the correct measurement. Step 1: C = d Step : C = 3.14(5) Step 3: C = 15.7 in This answer makes sense because 3 x 5 = 15. is just a little more than 3, so a little bit more than 15 makes sense.
4 4 in 1. Write the formula.. Plug in the numbers. 3. Multiply to get the answer. 4. Label the answer with the correct measurement. Step : 3 6 cm Step :
5 4 m Step : 5 9 cm Step : cm Step : 5 in Step :
6 Calculating Area of a Circle If we know the radius or the diameter of a circle, we can find the Area. Area Formula A r 3.14 r means so r r A r means A ( r r) We always have to square the radius before we multiply by. Sample Problems: 1 What is the Area of this 6 in d = r 1. Write the formula.. Plug in the numbers. 3. Square the radius. (Multiply radius x radius) 4. Multiply to get the answer. 5. Label the answer with the correct measurement. Step 1: A = r Step : A = 3.14(3 ) Step 3: A = 3.14(9) Step 4: C = 8.6 in This answer makes sense because 3 x 9 = 7. is just a little more than 3, so a little bit more than 7 makes sense.
7 What is the Area of this 4 in 1. Write the formula.. Plug in the numbers. 3. Square the radius. (Multiply radius x radius) 4. Multiply to get the answer. 5. Label the answer with the correct measurement. Step : 3 What is the Area of this 6 cm Step :
8 4 What is the Area of this m Step : 5 What is the Area of this 9 cm Step : 6 Find Area: Step : 7 Find Area: Step : 4 cm 5 in
9 8 Mrs. Davis wants to paint the top of a circular table that has a diameter of 3 feet. How many square feet will be painted? Draw a picture: What key words indicate that this is an area problem? 3 ft Step : 9 Mr. Magoo wants to put a circular rug in his office. His 8 foot long rectangular desk will sit directly across the center of the rug from one side to the other. How big is the rug that Mr. Magoo wants to purchase? Draw a picture: What key words indicate that this is an area problem? Step :
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