The center of circle q has coordinates (-2, 1). if circle q passes through r (6, 7), what is the length of its diameter?
1 answer:
<h2>Diameter of a Circle</h2>
There are multiple strategies we can use to find the diameter of a circle. For this question, we must calculate the length of the radius first and multiply by 2 to find the diameter.
<h2>Solving the Question</h2>We're given the centre and a point on the circumference: .
Find the distance between them using the distance equation:
Plug in the given points:
Therefore, the radius of the circle is 10 units.
Multiply the radius by 2 to find the length of the diameter:
10 × 2
= 20
Therefore, the length of the diameter is 20 units.
<h2>Answer</h2>20 units
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The vertex is given to be the point (-1,-3). So, the general equation of the parabola will be like:
where a is any constant.
In the given options, only 1 such equation is available and that is option C.
So the answer to this question is option C