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Lesson on Circles

Lesson on Circles

Assessment

Presentation

•

Mathematics

•

11th Grade

•

Hard

Created by

James Gonzalez

FREE Resource

12 Slides • 29 Questions

1

Everything You Wanted to Know about Circles - Almost

Dr. Tom Giles

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​Math Antics Circles, Circumference, & Area

5

Multiple Choice

Question image

The radius of this pizza is 9 ½ in. What is the approximate area of the pizza?

1

81 in2

2

29.83 in2

3

59 ⅔ in2

4

283 ½ in2

6

Multiple Choice

What is the area of a circle?
1
The distance around a circle.
2
The space inside the circle.
3
A line from side to side passing through the center.
4
A line from the center to the side.

7

Multiple Choice

What is the formula to find the area of a circle?

1

A = πd

2

A = 2πr

3

A = πr2

4

A = xyz

8

Multiple Choice

Question image
Find the area of the circle
1
43.96
2
153.86
3
87.82
4
307.72

9

Multiple Choice

Question image

Find the area of the circle in the picture.

1

34.54 in²

2

69.08 in²

3

379.94 in²

4

254.34 in²

10

Multiple Choice

What is circumference?
1
The distance around a circle.
2
The space inside the circle.
3
A line from side to side passing through the center.
4
A line from the center to the side.

11

Multiple Choice

Question image
Find the circumference of the circle
1
87.82
2
153.86
3
43.96
4
307.72

12

Multiple Choice

The circumference of a circle is 28.26 cm. What is closest to the area of the circle.

1

254.34 cm2

2

14.13 cm2

3

63.6 cm2

13

Multiple Choice

The circumference of a circle is 37.68 yds. What is the diameter? Use 3.14 for Pi.

1

118.3 yds

2

6 yds

3

12 yds

4

59.5 yds

14

Multiple Choice

Question image

The diameter of the wheel on a bicycle is 24 inches. Which is closest to the circumference of the wheel?

1

25.36 in

2

37.68 in

3

75.36 in

4

452.16 in

15

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From the Equation

  • Make the signs on h and k OPPOSITE to get the center

  • Take the SQUARE ROOT of r2 to get the radius

  • If you don't SEE a h or k, then that means the coordinate is ZERO.

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Multiple Choice

Write the equation of the circle with center (-4, 0) and a diameter of 10.

1

(x−4)2+y2=100\left(x-4\right)^2+y^2=100  

2

(x+4)2+y2=100\left(x+4\right)^2+y^2=100  

3

(x+4)2+y2=25\left(x+4\right)^2+y^2=25  

4

x2+(y+4)2=25x^2+\left(y+4\right)^2=25  

5

(x−4)2+y2=25\left(x-4\right)^2+y^2=25  

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Multiple Choice

Write the equation of the circle with center (2, -9) and a diameter of 11\sqrt{11}  .

1

(x+2)2+(y−9)2=11\left(x+2\right)^2+\left(y-9\right)^2=11  

2

(x−2)2+(y+9)2=11\left(x-2\right)^2+\left(y+9\right)^2=11  

3

(x+9)2+(y−2)2=11\left(x+9\right)^2+\left(y-2\right)^2=11  

4

(x−9)2+(y+2)2=11\left(x-9\right)^2+\left(y+2\right)^2=11  

22

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Multiple Choice

(x+3)2+(y+7)2=4\left(x+3\right)^2+\left(y+7\right)^2=4

What is the radius and center of the circle

1

r = 4,  (3, 7)

2

r = 4, (-3, -7)

3

r = 2, (3, 7)

4

r = 2, (-3, -7)

24

Multiple Choice

Question image

Find the equation of the circle.

1

x2+y2=12x^2+y^2=12

2

x2+y2=144x^2+y^2=144

3

x2+y2=36x^2+y^2=36

4

x2+y2=576x^2+y^2=576

25

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Multiple Choice

Which of the following is the equation of a circle with a center at (-1,3) and a radius of 4?

1

(x-1)2+(y+3)2=4

2

(x-1)2+(y+3)2=16

3

(x+1)2+(y-3)2=4

4

(x+1)2+(y-3)2=16

28

Multiple Choice

Question image

Which is the correct equation for the circle?

1

(x-3)2-(y+1)2=8

2

(x-3)2+(y+1)2=8

3

(x+3)2+(y-1)2=16

4

(x-3)2-(y+1)2=16

5

(x-3)2+(y+1)2=16

29

Multiple Choice

Question image

Which is the correct equation for the circle?

1

(x+5)2+(y+2)2=9

2

(x-2)2+(y-5)2=9

3

(x+2)2+(y+5)2=9

4

(x+2)2+(y+5)2=3

5

(x-2)2+(y-5)2=6

30

Multiple Choice

Question image

What is the equation of this circle?

1

(x - 2)2 + (y - 1)2 = 4

2

(x + 2)2+(y + 1)2=16

3

(x + 2)2 + (y - 1)2 = 4

4

(x + 2)2+(y - 1)2=16

31

Multiple Choice

Question image

Write the equation of the circle with center C( -5, 8 ) and radius = 7.

1

( x - 5 )2 + ( y + 8 )2 = 14

2

( x - 5 )2 + ( y - 8 )2 = 49

3

( x - 5 )2 + ( y + 8 )2 = 49

4

( x + 5 )2 + ( y - 8 )2 = 49

32

Multiple Choice

Identify the center and radius of a circle with the following equation: (x+7)2+(y−5)2=16\left(x+7\right)^2+\left(y-5\right)^2=16  

1

Center (7, -5) & Radius = 16

2

Center (-7, 5) & Radius = 8

3

Center (7, -5) & Radius = 4

4

Center (-7, 5) & Radius = 4

33

Multiple Choice

Identify the center and radius of a circle with the following equation: (x+5)2+(y+2)2=48\left(x+5\right)^2+\left(y+2\right)^2=48  

1

Center (5, 2) & Radius = 24

2

Center (-5, -2) & Radius  ≈\approx  6.93

3

Center (5, 2) & Radius = 48

4

Center (-5, -2) & Radius = 24

34

Multiple Choice

Which is the correct standard equation of a circle with the given information? Center: (-3, 2) and Radius = 16

1

(x−3)2+(y+2)2=256\left(x-3\right)^2+\left(y+2\right)^2=256

2

(x+3)2+(y−2)2=4\left(x+3\right)^2+\left(y-2\right)^2=4

3

(x+3)2+(y−2)2=256\left(x+3\right)^2+\left(y-2\right)^2=256

4

(x−3)2+(y+2)2=16\left(x-3\right)^2+\left(y+2\right)^2=16

35

Multiple Choice

Which is the correct standard equation of a circle with the given information? Center (7, -2) and passes through (-1, -6)

1

(x−7)2+(y+2)2=6,400\left(x-7\right)^2+\left(y+2\right)^2=6,400

2

(x+7)2+(y−2)2=80\left(x+7\right)^2+\left(y-2\right)^2=80

3

(x+1)2+(y+6)2=6,400\left(x+1\right)^2+\left(y+6\right)^2=6,400

4

(x−7)2+(y+2)2=80\left(x-7\right)^2+\left(y+2\right)^2=80

36

Multiple Choice

A circle has a center at (1, 1). The diameter is 6. Which of the following points is a point on the circle?

1

(0, −1)\left(0,\ -1\right)

2

(−1, 3)\left(-1,\ 3\right)

3

(4, 1)\left(4,\ 1\right)

4

(3, 3)\left(3,\ 3\right)

37

Multiple Choice

A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Write the equation in standard form.

1

(x - 6)2 + (y + 4)2 = 49

2

(x + 4)2 + (y - 6)2 = 49

3

(x - 6)2 + (y + 4)2 = 55

4

x2 + y2 = 55

38

Multiple Choice

The equation of a circle is x2 + y2 + 6x - 12y + 20 = 0. Write the equation in standard form.

1

(x - 3)2 + (y + 6)2 = 25

2

(x + 3)2 + (y - 6)2 = 25

3

(x - 3)2 + (y + 6)2 = 45

4

(x + 3)2 + (y - 6)2 = 5

39

Multiple Choice

A circle has the equation x2 + y2 + 10x - 4y + 20 = 0. Write it in standard form.

1

(x - 5)2 + (y + 2)2 = 9

2

(x + 5)2 + (y - 2)2 = 3

3

(x + 5)2 + (y - 2)2 = 9

4

(x - 5)2 + (y + 2)2 = 3

40

Multiple Choice

Find the center and radius of the circle: x2 + y2 + 14x - 2y = -1.

1

center = (-7, 2) radius = 3

2

center = (-7, 1) radius = 7

3

center = (-4, 1) radius = 7

4

center = (-4, 2) radius = 3

41

Multiple Choice

Determine the center and radius:
x2 + y2 - 10x + 8y -8 = 0
1
C = (5,-4) r = 7
2
C = (-5,4) r = 7
3
C = (-4,5) r = 49
4
C = (5,-4) r = 49

Everything You Wanted to Know about Circles - Almost

Dr. Tom Giles

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