Area of an Annulus An annulus is similar to a ring or a castle's moat; it is the area between two concentric circles. Calculating the annulus area, therefore, involves finding the difference of the two circles' area. A common trick on annulus problems is to give the distance between the small and large circle, and not the large circle's radius. ©Curriculum Associates, LLC Copying is not permitted. LESSON 6 Solve Area and Circumference Problems Involving Circles 97b LESSON 6 Overview MATERIALS DIFFERENTIATION Pacing Guide Items marked with are available on the Teacher Toolbox. SESSION 1 Explore Circumference of a Circle(35-50 min) • Start (5 min) • Try It (5-10 min) • Discuss It (10-15 min) Surface Area Word Problems: Name: _____ 1.) A cosmetics company that makes small cylindrical bars of soap wraps the bars in plastic prior to shipping. Find the surface area of a bar of soap if the diameter is 5 cm and the height is 2 cm. Use 3.14 for π. 2.) Chloe wants to wrap a present in a box for Sarah. The (b) A thin ring of area around the center of the city has thickness Δr and radius r. If you straighten it out, it becomes a rectangular strip. What is its area? (c) Explain why the population of the ring in part (b) is given by 10,000(2 )(2 ) 'r r rS. (d) Find the total population of Washerton by setting up and evaluating a def inite integral. Find the area of each sector. Name 8 mi 150 647t mi2 12 in 300 72007t 117tin2 225 17 mi 37t ID: 1 Period math-worksheet.org C) C) C) Date 807t B) D) 167t mi2 D) 14457t B) math-worksheet.org 45 3617t 5 cm cm2 57t cm2 270 13 km 497t km2 210 14 mi 3437t 497t B) D) cm2 347t cm2 . 15) 15 yd 120 357t yd2 77t C) yd2 17) 11m 315 18597t 10011 C) 19) The area of the Ping-Pong table is 40 square feet. What are the dimensions of the table? 14. The area of a rectangular wall of a barn is 64 square feet. Its length is 8 feet longer than twice its width. Find the length and width of the wall. 15. The length of a rectangular plot of land is 10 yards more than its width. If the area of the Annulus Capacity volumes calculation might be estimated by a formula calculating the cross-sectional area between the open hole or casing ID and the drill pipe OD and then by multiplying it to its length. In this article also, you can download the annular capacity volume calculator excel sheet & tables PDF. Figure.1. Figure 2. Find the area of the semicircle to the nearest square foot. 7. Mom baked a Dutch apple pie in a 9-inch pie pan. She cut the pie into 6 equal pies so that everyone gets the same sized piece. a. Determine the central angle created by two pieces of pie. b. Determine the area covered by each piece of pie to the nearest tenth of a square inch. The first 8 problems have work space for students to show the area of the larger circle, the area of the smaller circle, and the difference. The last 2 problems have space for work, but students need to show their own steps. Keywords: composite area, compound area, annulus, donut, doughnut, area of circles, pi, test prep. Solve the problems below using your knowledge of circumference and area concepts. Use 3.14 for Pi. 1. What is the diameter of a circle with radius of 7 inches? D = 14 in 2. What is the circumference of a circle with diameter of 5 centimeters? C = 15.7 cm 3. What is the area of a circle with a radius of 3.5 feet? A = 38.465 ft 2 4. Ring of Fire: Introduction Name _____ Instructions: Read through the information about the Ring of Fire. Then complete the
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