Which of the following equations will produce the graph shown below?
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10-9-8-7-6-5-4-3-2-1-1 2 3 4 5 6 7 8 9 10
O A. 20x²-20y² = 400
OB.
B. 6x² + 6y² = 144
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ܚ ܐ ܕܬ ܘ ܟ ܗ ܗ ܙܪ ܣ ܣ
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A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The general form of the equation of a circle is;

(x - h)² + (y - k)² = r²

where;

h, k are coordinates of the circle centre r is the radius

From the graph, we can see that the coordinates of the centre are; (0, 0).

Also, the radius is;

r = √(4² - 0²)

r = √16

Thus, our equation of the circle in the graph is;

(x - 0)² + (y - 0)² = (√16)²

⇒ x² + y² = 16

Therefore the equation that produces the circle in the given graph is; x² + y² = 16. The correct answer is option B.

Which of the following equations will produce the graph shown below? +10 10-9-8-7-6-5-4-3-2-1-1 2 3 4 5 6 7 8 9 10 O A. 20x²-20y² = 400 OB. B. 6x² + 6y² = 144 လ - 7 PTT || | ||||||||| ܚ ܐ ܕܬ ܘ ܟ ܗ ܗ ܙܪ ܣ ܣ -3 -5 -7 -8 -9 -10

Respuesta :

How to interpret the equation of a Circle?

Otras preguntas

Which of the following equations will produce the graph shown below?
+10
10-9-8-7-6-5-4-3-2-1-1 2 3 4 5 6 7 8 9 10
O A. 20x²-20y² = 400
OB.
B. 6x² + 6y² = 144
လ -
7 PTT || | |||||||||
ܚ ܐ ܕܬ ܘ ܟ ܗ ܗ ܙܪ ܣ ܣ
-3
-5
-7
-8
-9
-10