11.3 areas of circles and sectors 2016 ink.notebook. April 12, Page 134 Page Areas of Circles and Sectors. Standards.
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1 11.3 areas of circles and sectors 2016 ink.notebook Page 134 Page Areas of Circles and Sectors Round to the nearest Lesson Objectives Standards Lesson Notes 11.3 Areas of Circles and Sectors Lesson Objectives Standards Lesson Notes After this lesson, you should be able to successfully find the area of a a circle and the sector of a circle. Press the tabs to view details. Press the tabs to view details. 1
2 11.3 areas of circles and sectors 2016 ink.notebook Lesson Objectives Standards Lesson Notes G.GPE.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. G.MG.1 Use geometric shapes, their measures, and their properties to describe objects. G.MG.3 Apply geometric methods to solve design problems. G.C.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality derive the formula for the area of a sector. G.GMD.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. AREA OF A CIRCLE The area of a circle is equal to times the of the radius. Equation: A = 1. Find the area of the circle p. If the diameter = 12 m, then the 2. Find the area of the circle. Round to the nearest radius = m. The area of the circle is about 2
3 11.3 areas of circles and sectors 2016 ink.notebook Using Area to find the radius or diameter. Round to the nearest 3. The area of a circle is square centimeters. Find the diameter. 4. Find the radius of a circle with an area of 63.6 square feet. Using Area to find the radius or diameter. Round to the nearest 5. Find the diameter of a circle with an area of square millimeters. 6. The area of a circle is square inches. Find the radius. 3
4 11.3 areas of circles and sectors 2016 ink.notebook A sector of a circle is a region bounded by a central angle and its intercepted arc. Find the area of the shaded sector. Round to the nearest AREA OF A SECTOR If a sector of a circle has an area of A square units, a central angle measuring x, and a radius of r units, then Find the area of the shaded sector. Round to the nearest
5 11. CLOCK Sadie wants to draw a clock face on a circular piece of cardboard. If the clock face has a diameter of 20 centimeters and is divided into congruent pieces so that each sector is 30, what is the area of each piece? On the Worksheet Find the area of each circle. Round to the nearest
6 Find the area of each shaded sector. Round to the nearest Find the area of each shaded sector. Round to the nearest 5. Find the area of each circle. Round to the nearest HOMEWORK 11.3 Practice WS Areas of Circles and Sectors 6
7 Find the area of each circle. Round to the nearest Find the area of each circle. Round to the nearest Find the indicated measure. Round to the nearest 7. The area of a circle is square centimeters. Find the diameter. 9. The area of a circle is square inches. Find the radius. 8. Find the diameter of a circle with an area of square millimeters. 10. Find the radius of a circle with an area of square feet. 7
8 11. PORTHOLES A circular window on a ship has a radius of 8 inches. What is the area of the window? Round your answer to the nearest hundredth. 12. LOBBY The lobby of a bank features a large marble circular table. The diameter of the circle is 15 feet. What is the area of the circular table? Round your answer to the nearest Find the area of each shaded sector. Round to the nearest Find the area of each shaded sector. Round to the nearest
9 Find the area of each shaded sector. Round to the nearest GAMES Gustavo wants to make a spinner for a new board game he invented. The spinner is a circle divided into 8 congruent pieces, what is the area of each piece to the nearest tenth? 20. SANDWICHES For a party, Crystal wants to have finger sandwiches. She cuts sandwiches into circles. If she cuts each circle into three congruent pieces, what is the area of each piece? 21. POOL A circular pool is surrounded by a circular sidewalk. The circular sidewalk is 3 feet wide. The diameter of the sidewalk and pool is 26 feet. a) What is the diameter of the pool? b) What is the area of the sidewalk and pool? c) What is the area of the pool? 9
10 Answers: m in in cm in in m m in cm a) 20 ft b) ft 2 c) 314 ft 2 10
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