over lesson 11–7 a.a b.b c.c d.d 5-minute check 1 find the circumference of the circle to the...
TRANSCRIPT
![Page 1: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/1.jpg)
Over Lesson 11–7
A. A
B. B
C. C
D. D
Find the circumference of the circle to the nearest tenth.
Find the circumference of the circle to the nearest tenth.
![Page 2: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/2.jpg)
![Page 3: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/3.jpg)
You have already found the circumference of a circle. (Lesson 11–7)
• Find areas of circles.
• Find areas of sectors.
![Page 4: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/4.jpg)
• sector
• central angle
A pie-shaped part of a circle bound by the radius of a circle and an arc
An angle whose vertex is the center of the circle and whose sides are radii
![Page 6: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/6.jpg)
Find Areas of Circles
A. Find the area of the circle. Round to the nearest tenth.
Answer: The area is about 907.9 square feet.
Estimate A ≈ 3 ● 172 or 867
A = r 2 Area of a circle
= ● 172 Replace r with 17.
= ● 289 Evaluate 172.
907.9 ft2 Use a calculator.
Check 907.9 ≈ 867
![Page 7: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/7.jpg)
Find Areas of Circles
B. Find the area of the circle. Round to the nearest tenth.
Answer: The area is about 54.1 square centimeters.
Estimate A ≈ 3 ● 42 or 48
A = r 2 Area of a circle
= ● 4.152 Replace r with 4.15.
= ● 17.2225 Evaluate (4.15)2.
54.1 cm2 Use a calculator.
Check 54.1 ≈ 48
![Page 8: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/8.jpg)
A. A
B. B
C. C
D. D
A. 38.5 m2
B. 44.0 m2
C. 153.9 m2
D. 615.8 m2
A. Find the area of the circle. Round to the nearest tenth.
![Page 9: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/9.jpg)
A. A
B. B
C. C
D. D
A. 16.3 in2
B. 32.7 in2
C. 84.9 in2
D. 339.8 in2
B. Find the area of the circle. Round to the nearest tenth.
![Page 10: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/10.jpg)
Use Area of Circles to Solve Problems
PICTURE FRAMES The rectangular matting for a picture frame has a circular cutout for the photograph, as shown in the figure. What is the area of the mat? Round to the nearest tenth.
![Page 11: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/11.jpg)
Use Area of Circles to Solve Problems
Answer: The area is about 165.7 sq. in.
Find the area of the rectangle minus the area of the circle.
Area of rectangle Area of circle
A = ℓw – r 2
= 18 ● 12 – ● 42 Replace ℓ with 18, w with12, and r with 4.
= 216 – 16 Simplify.
165.7 Use a calculator.
![Page 12: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/12.jpg)
A. A
B. B
C. C
D. D
A. 150.6 in2
B. 131.7 in2
C. 124.6 in2
D. 79 in2
The rectangular matting for a picture frame has a circular cutout as shown in the figure. What is the approximate area of the matting?
![Page 13: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/13.jpg)
This is tells you how big of a pie slice you are “cutting”
![Page 14: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/14.jpg)
Find the Area of a Sector
Find the area of the shaded sector in the circle. Round to the nearest tenth.
Area of a sector
Answer: The area is about 37.7 m2.
Replace N with 120 and r with 6.
Simplify.
Use a calculator.
![Page 15: Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth](https://reader034.vdocuments.us/reader034/viewer/2022052401/56649ed15503460f94be0e20/html5/thumbnails/15.jpg)
A. A
B. B
C. C
D. D
A. 4.2 in2
B. 16.8 in2
C. 33.5 in2
D. 66.0 in2
To the nearest tenth, what is the area of the shaded sector in the circle?