8.3. Start Thinking! Warm Up. Find the area of the triangle Activity. Activity. 4 m. 14 in. 7 m. 9 in. 12 yd. 11 yd. 1 mm. 5.
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1 Activity Start Thinking! For use before Activity You know how to find the area of squares, rectangles, triangles, trapezoids, and parallelograms. Describe three different methods you could use to estimate the area of a circle. Activity Warm Up For use before Activity Find the area of the triangle in. m 4 m 9 in. 1 yd yd 10 cm 10 cm m 8 m mm 1 mm Copyright Big Ideas Learning, LLC Big Ideas Math Red 65
2 Lesson Start Thinking! For use before Lesson Two approximations for π are and In finding the area of a circle, when is it easier to use? When is it easier to use 3.14? Write a word problem involving the area of a circular object. Exchange problems with a classmate and solve your classmate s problem. Is it easier to use or 3.14 for π to solve your classmate s problem? Lesson Warm Up For use before Lesson Find the area of the circle. Use 3.14 or for π in. ft 1 cm 66 Big Ideas Math Red Copyright Big Ideas Learning, LLC
3 Name Date Practice A Find the area of the circle. Use 3.14 or for π mm 40 in. 5 m ft 0 cm 1 mm Find the area of the object cm 9. 6 in. 8 ft 10. You use the compass to draw a circle. What will be the area of the circle? 3 in. 11. What fraction of a square inch is the area of one side of a penny? Use for π. Write your answer in simplest form. 3 4 in. 1. To make a pizza, you spread pizza sauce over all but a 1-inch area around the outside edge as shown. What area of the crust is covered with sauce? 16 in. Copyright Big Ideas Learning, LLC Big Ideas Math Red 6
4 Name Date Practice B Find the area of the circle. Use 3.14 or for π in..5 m 48 mm Find the area of the semicircle m 6. 1 ft 0 in.. The shadow of an object is roughly the same size as the object. What is the area of the circular shadow of the hot air balloon? 56 ft 8. How many square feet of the ground are sprayed by the beach shower? in. 9. The radius of the small circle is half the radius of the large circle. a. Use the radius r to write a formula for the area of the large circle. r b. Use the radius to write a formula for the area of the small circle. c. How does the area of a circle compare to the area of another circle whose radius is twice as large? Explain your reasoning. r 10. The number of square inches of a circle s area is equal to the number of inches of its circumference. What is the radius of the circle? Explain how you found your answer. 68 Big Ideas Math Red Copyright Big Ideas Learning, LLC
5 Name Date Enrichment and Extension Where Are You Located? The circular broadcast areas of two television stations and two radio stations are shown in the diagram. Use 3.14 for π. Broadcast radius (mi) TV Channel TV Channel Radio FM 60 Radio 94. FM 40 Channel FM Channel FM 1. How many times larger is the broadcasting area of Channel 19 than the broadcasting area of Channel 36?. How many times larger is the broadcasting area of FM than the broadcasting area of 94. FM? 3. What percent of the broadcast area of Channel 19 is also in the broadcast area of FM? 4. What fraction of the broadcast area of Channel 36 is also in the broadcast area of 94. FM? 5. Half of the broadcast area of 94. FM can watch both television channels. a. What percent of the broadcast area of Channel 19 can listen to 94. FM? b. You can watch one of the television channels and can listen to one of the radio stations. Draw a diagram and shade the area where you may be located. What is the total area of the shaded region? c. Your friend can watch Channel 19 but cannot listen to either of the radio stations. You do not know if your friend can watch Channel 36. Draw a diagram and shade the area where your friend may be located. What is the total area of the shaded region? Copyright Big Ideas Learning, LLC Big Ideas Math Red 69
6 Name Date Puzzle Time What Do Little Piggies Do As Soon As They Get Home From School? Write the letter of each answer in the box containing the exercise number. Find the area of the circle. Use 3.14 or for π. 1.. Answers K units H. M. R. W. O. A units units 1.1 units 154 units units 15 units 5. Find the area of the semicircle. Use 3.14 for π Big Ideas Math Red Copyright Big Ideas Learning, LLC
How can you determine the amount of cardboard used to make a cereal box? List at least two different methods.
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