Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Which of the following is an equation of the circle with its center at (0,0) that passes through (3,4) in the standard (x,y) coordinate plane?
F. x – y = 1
G. x + y = 25
H. x^2 + y = 25
J. x^2 + y^2 = 5
K. x^2 + y^2 = 25

Sagot :

AL2006
The distance from the origin to the point (3,4) is the radius of the circle.

That distance is √(3² + 4²) = √(9 + 16) = √25 = 5 .

The equation of a circle centered at the origin is

x² + y² = (radius)²

So this circle is [ x² + y² = 25 ]

That's Choice-'K'.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.