11.3 areas of circles and sectors 2016 ink.notebook · 2017-04-12 · 11.3 areas of circles and...
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11.3 areas of circles and sectors 2016 ink.notebook 1 April 12, 2017 Page 133 11.3 Areas of Circles and Sectors Round to the nearest tenth . Page 134 Lesson Objectives Standards Lesson Notes Press the tabs to view details. 11.3 Areas of Circles and Sectors Lesson Objectives Press the tabs to view details. Lesson Notes Standards After this lesson, you should be able to successfully find the area of a a circle and the sector of a circle.
Transcript of 11.3 areas of circles and sectors 2016 ink.notebook · 2017-04-12 · 11.3 areas of circles and...
11.3 areas of circles and sectors 2016 ink.notebook
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April 12, 2017
Page 133
11.3 Areas of Circles and Sectors
Round to the nearest tenth.
Page 134
Lesson Objectives Standards Lesson Notes
Press the tabs to view details.
11.3 Areas of Circles and Sectors
Lesson Objectives
Press the tabs to view details.
Lesson NotesStandards
After this lesson, you should be able to successfully find the area of a a circle and the sector of a circle.
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Lesson Objectives Standards Lesson NotesG.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
radius = ____ m.
The area of the circle is about ________
2. Find the area of the circle. Round to the nearest tenth.
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3. The area of a circle is 153.9 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 tenth.
5. Find the diameter of a circle with an area of 855.3 square millimeters.
6. The area of a circle is 201.1 square inches. Find the radius.
Using Area to find the radius or diameter. Round to the nearest tenth.
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A sector of a circle is a region bounded by a central angle and its intercepted arc.
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
AREA OF A SECTOR
Find the area of the shaded sector. Round to the nearest tenth.7. 8.
Find the area of the shaded sector. Round to the nearest tenth.
10.9.
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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 tenth.
1. 2.
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Find the area of each shaded sector. Round to the nearest tenth.3. 4.
Find the area of each shaded sector. Round to the nearest tenth.
5.
HOMEWORK
11.3 Practice WS Areas of Circles and Sectors
Find the area of each circle. Round to the nearest tenth.1. 2.
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Find the area of each circle. Round to the nearest tenth.3. 4.
Find the area of each circle. Round to the nearest tenth.5. 6.
Find the indicated measure. Round to the nearest tenth.7. The area of a circle is 132.7 square centimeters. Find the diameter.
8. Find the diameter of a circle with an area of 1134.1 square millimeters. 10. Find the radius of a circle with an area of 2827.4 square
feet.
9. The area of a circle is 706.9 square inches. Find the radius.
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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 tenth.
Find the area of each shaded sector. Round to the nearest tenth.13. 14.
Find the area of each shaded sector. Round to the nearest tenth.15. 16.
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Find the area of each shaded sector. Round to the nearest tenth.17. 18.
19. 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?
c) What is the area of the pool?
b) What is the area of the sidewalk and pool?
a) What is the diameter of the pool?
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.
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1. 153.9 m2 3. 254.3 in2 5. 379.9 in2 7. 13.0 cm 9. 15.0 in
11. 200.96 in2 13. 1.8 m2 15. 367.4 m2 17. 110.5 in2 19. 25.1 cm2
21. a) 20 ft b) 530.7 ft2 c) 314 ft2
Answers:
