Math Questions 15.6 - Circle Graphs

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Circle Graphs Revision Questions

1. . What is the radius of the circle shown in the figure?

1. 8 units
2. 6 units
3. 4 units
4. 2 units

Reveal AnswerCorrect Answer: C

2. . What are the coordinates of the centre C of the circle shown in the figure?

1. C(0, 0)
2. C(1, -1)
3. C(1, -7)
4. C(1, -4)

Reveal AnswerCorrect Answer: D

3. . Which of the following is TRUE about the circle shown in the figure?

1. C(2, -1) and r = 4 units
2. C(1, -2) and r = 4 units
3. C(2, -1) and r = 8 units
4. C(-2, 1) and r = 2 units

Reveal AnswerCorrect Answer: A

4. . The equation of a circle is

What is the radius of this circle?

1. r = 1
2. r = 4
3. r = 5
4. r = 16

Reveal AnswerCorrect Answer: B

5. . The equation of a circle is

What is the centre of this circle?

1. C(3, -8)
2. C(-3, 8)
3. C(-3, 40)
4. C(8, 40)

Reveal AnswerCorrect Answer: A

6. . The centre of a circle is on the vertical axis, 3 units above the origin. The lowest point of the circle is 2 units below the origin. What is the equation of this circle?

1. (x - 3)² + (y - 2)² = 4
2. x² + (y - 3)² = 25
3. x² + (y - 3)² = 5
4. (x - 3)² + y² = 25

Reveal AnswerCorrect Answer: B

7. . All points of a circle are 6 units away from the origin of the coordinates system. What is the equation of this circle?

1. x² + (y - 6)² = 36
2. (x - 6)² + y² = 36
3. x² + y² = 6
4. x² + y² = 36

Reveal AnswerCorrect Answer: D

8. . What is/are the x-intercept (if any) of the circle

when expressed to one decimal place?

1. (-4.2, 0) and (6.2, 0)
2. (-1.0, 0) and (4.0, 0)
3. (-8.9, 0) and (2.9, 0)
4. There are no x-intercepts

Reveal AnswerCorrect Answer: A

9. . What is/are the y-intercept (if any) of the circle

when expressed to one decimal place?

1. (0, -7.6) and (0, 1.6)
2. (0, -2.0) and (0, 6.0)
3. (0, 0) only
4. There are no y-intercepts

Reveal AnswerCorrect Answer: B

10. . What is the equation of the horizontal diameter (including the restrictions) for the circle

1. y = 2 ≤ -2 ≤ x ≤ 6
2. y = -2 ≤ -3 ≤ x ≤ 1
3. y = 2 ≤ -3 ≤ x ≤ 1
4. y = -2 ≤ -2 ≤ x ≤ 6

Reveal AnswerCorrect Answer: C

11. . What is the equation of the horizontal diameter (including the restrictions) for the circle

1. x = 2 ≤ -8 ≤ y ≤ 4
2. x = 3 ≤ -8 ≤ y ≤ 4
3. x = -2 ≤ -3 ≤ y ≤ 9
4. y = -2 ≤ -3 ≤ x ≤ 9

Reveal AnswerCorrect Answer: B

12. . What is the equation of the vertical diameter of the circle shown in the figure?

1. y = 6 -4 ≤ x ≤ 10
2. y = 6 -1 ≤ x ≤ 13
3. x = 6 -4 ≤ y ≤ 10
4. x = 6 -1 ≤ y ≤ 13

Reveal AnswerCorrect Answer: C

13. . Which of the following second-degree polynomials with one variable represent a circle?

1. x² + y² - 4x + 2y + 5 = 0
2. x² + y² - 2x + 6y + 5 = 0
3. x² + y² - 2x + 6y + 10 = 0
4. x² - y² - 2x + 6y + 10 = 0

Reveal AnswerCorrect Answer: B

14. . What is the ax² + by² + cx + dy + e = 0 form of the circle

1. x² + y² + x + 2y - 36 = 0
2. x² + y² + 2x + 4y - 36 = 0
3. x² + y² + 2x + 4y - 31 = 0
4. x² + y² + x + 2y - 31 = 0

Reveal AnswerCorrect Answer: C

15. . What is the ax² + by² + cx + dy + e = 0 form of the circle shown in the figure below?

1. x² + y² - 4x + 2y - 11 = 0
2. x² + y² + 2x - y - 4 = 0
3. x² + y² - 4x + 2y - 16 = 0
4. x² + y² + 2x + 4y - 16 = 0

Reveal AnswerCorrect Answer: A

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2. Types of Graphs Math tutorial: Circle Graphs. Read the Circle Graphs math tutorial and build your math knowledge of Types of Graphs
3. Types of Graphs Revision Notes: Circle Graphs. Print the notes so you can revise the key points covered in the math tutorial for Circle Graphs
4. Check your calculations for Types of Graphs questions with our excellent Types of Graphs calculators which contain full equations and calculations clearly displayed line by line. See the Types of Graphs Calculators by iCalculator™ below.
5. Continuing learning types of graphs - read our next math tutorial: Transforming Graphs

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