Describe fully the graph which has the equation $x^2 + y^2 = 9$. - OCR - GCSE Maths - Question 17 - 2017 - Paper 1
Question 17
Describe fully the graph which has the equation $x^2 + y^2 = 9$.
Worked Solution & Example Answer:Describe fully the graph which has the equation $x^2 + y^2 = 9$. - OCR - GCSE Maths - Question 17 - 2017 - Paper 1
Step 1
Circle
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Answer
The graph of the equation x2+y2=9 represents a circle. This is evident since it is in the standard form of a circle's equation, which is (x−h)2+(y−k)2=r2, where ((h, k)) is the center of the circle and (r) is the radius.
Step 2
Center and Radius
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Answer
From the equation, we can determine that the center of the circle is at the origin ((0, 0)), and the radius (r) can be found using (r = \sqrt{9} = 3). Thus, the circle has a radius of 3.
Step 3
Shape
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Answer
In summary, the graph is a circle, centered at the origin ((0, 0)) with a radius of 3. It is a closed and symmetrical shape.
