Lesson 3.7
3.7 Understand that x2 + y2 = r2 is the equation of a circle with centre (0, 0) and radius r Quiz: AQA Further Maths, Unit 3
20 questions
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Lesson 3.7, Understand that x2 + y2 = r2 is the equation of a circle with centre (0, 0) and radius r: 20 multiple choice questions for the AQA GCSE Further Maths (8365), Unit 3: Coordinate Geometry (2 dimensions only), written with Revision Ninja.
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The 20 questions
-
What is the equation of a circle with centre (0, 0) and radius r?
- x + y = r
- x^2 + y^2 = 2r
- x^2 - y^2 = r^2
- x^2 + y^2 = r^2
-
What is the radius of the circle x^2 + y^2 = 49?
- 24.5
- 98
- 49
- 7
-
Which point lies on the circle x^2 + y^2 = 25?
- (3, 3)
- (3, 4)
- (5, 5)
- (4, 4)
-
What is the equation of a circle with centre (0, 0) and radius 6?
- x^2 + y^2 = 36
- x^2 + y^2 = 12
- x^2 + y^2 = 6
- x + y = 36
-
Does (1, 2) lie on x^2 + y^2 = 5?
- No, since 1 + 4 = 4
- Yes, since 1 + 4 = 5
- Yes, since 1 + 2 = 5
- No, since 1 + 2 = 3
-
What is the radius of the circle x^2 + y^2 = 64?
- 32
- 4
- 8
- 64
-
Which of these points lies on x^2 + y^2 = 50?
- (5, 6)
- (6, 6)
- (4, 6)
- (5, -5)
-
A circle centred at the origin passes through (0, -10). What is its radius?
- 100
- 5
- 10
- 20
-
Which statement about x^2 + y^2 = 16 is correct?
- Centre (0, 0) and radius 8
- Centre (0, 0) and radius 16
- Centre (4, 0) and radius 4
- Centre (0, 0) and radius 4
-
Which point lies inside the circle x^2 + y^2 = 10?
- (3, 3)
- (4, 1)
- (0, 4)
- (2, 2)
-
A circular pond is centred at the origin with radius 3 m. Which equation models its edge?
- x^2 + y^2 = 9
- x^2 + y^2 = 3
- x^2 + y^2 = 6
- x + y = 3
-
Where does the circle x^2 + y^2 = 36 cross the x-axis?
- (6, 0) and (-6, 0)
- (36, 0) and (-36, 0)
- (6, 0) only
- (0, 6) and (0, -6)
-
For the circle x^2 + y^2 = r^2, what is the distance from the centre to any point on it?
- 2r
- r^2
- r
- r/2
-
The point (p, 4) lies on x^2 + y^2 = 25 with p positive. What is p?
- 41
- 3
- 9
- 5
-
Which point is an intersection of y = x + 2 with x^2 + y^2 = 10?
- (1, 3)
- (2, 4)
- (-2, 0)
- (1, 2)
-
The line y = 2x meets x^2 + y^2 = 5 where x = 1 or -1. Which is an intersection point?
- (1, -1)
- (2, 1)
- (2, 2)
- (1, 2)
-
How many points does the circle x^2 + y^2 = 25 share with the line x = 6?
- Infinitely many
- 1
- 2
- 0
-
The circle x^2 + y^2 = k passes through (3, -4). Find k.
- -25
- 12
- 25
- 7
-
The point (6, 8) lies on the circle x^2 + y^2 = r^2. What is r?
- 100
- 10
- 28
- 14
-
A circle centred at the origin passes through (5, 12). Which point is diametrically opposite it?
- (-5, 12)
- (5, -12)
- (12, 5)
- (-5, -12)
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