Can you write the equation for a circle if the given point does not lie on the circle
1 answer:
Answer:
Step-by-step explanation:
The equation for a circle is
This should tell you that in order to write the equation for a circle, you need either the center and a point and then solve for the radius, or you need 2 points ON the circle that will help you find the center (it would be exactly between those 2 points so you could use the midpoint formula to find the center and then you would have the h and the k and can take it from there.)
The definition of a circle is the locus of all points that is equidistant from a point in space. That point in space is the center and all the points equidistance from it are ON the circle, not inside the circle.
Hope that helps.
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Essentially this is asking you to sum the first three values of the geometric series that starts with i being 1 and has the rule of ().
Since we must sum the first <em>three </em>geometric values we need to see what the value of i will be for the first three. The sigma notation shows us that the first i will be equal to 1. This means the second i is 2 and the third i is 3.
Knowing this you can plug in the corresponding i values into () and sum it all together
() + (
) + (
)
() + (
) + (
)
() + (
) + (
)
(8) + (2) + ()
10 +
10.5
Hope this helped!
~Just a girl in love with Shawn Mendes