How do you solve a problem that says:

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Homework Help Overview

The problem involves finding the standard form of the equation of a circle given the endpoints of its diameter at coordinates (0,0) and (6,8). Participants are discussing how to derive the equation from this information.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants suggest starting by determining the center of the circle and referencing the standard form of the circle's equation. There is confusion regarding how to derive specific values for the equation from the given endpoints.

Discussion Status

There are hints provided regarding the general equation of a circle, and some participants are clarifying the meanings of the variables involved. However, there is no explicit consensus on how to connect the given information to the standard form of the equation.

Contextual Notes

Some participants express uncertainty about the definitions of h, k, and r in the context of the circle's equation, indicating a potential gap in understanding the relationship between the endpoints and the circle's parameters.

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Endpoints of a diameter : (0,0), (6,8)
?
It says write the standard form of the equation of the specified circle.
Anyone know how to solve this?
 
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Hint: Start by finding the coordinates of the center of the circle. If you don't know the standard form for the equation of a circle, you'll have to look it up.
 
Doc Al said:
Hint: Start by finding the coordinates of the center of the circle. If you don't know the standard form for the equation of a circle, you'll have to look it up.

If you mean (x-h)^2+(y-k)^2=r^2
i know it i just don't understand how i would get
(x-3)^2 + (y-4)^2=25 that's what the back of my book tells me i just don't see how they get to it..
 
That's the right general equation; Look up what h, k, and r stand for.
 
Doc Al said:
That's the right general equation; Look up what h, k, and r stand for.

H,K is X,Y
R is Radius
 
j0nath0n3 said:
H,K is X,Y
X, Y of what?
 

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