Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
The correct options regarding the circle with endpoints of the longest chord at (4, 5.5) and (4, 10.5) are:
- The center is (4,8).
- The radius is of 2.5 units.
- [tex](x - 4)^2 + (y - 8)^2 = 6.25[/tex]
What is the equation of a circle?
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
The center is the midpoint of the chords, hence:
- [tex]x_0 = \frac{4 + 4}{2} = 4[/tex].
- [tex]y_0 = \frac{5.5 + 10.5}{2} = 8[/tex].
The radius is half the distance between the chords, hence:
[tex]r = 0.5\sqrt{(4-4)^2 + (10.5 - 5.5)^2} = 0.5 = 2.5[/tex].
Hence the equation is:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - 4)^2 + (y - 8)^2 = 2.5^2[/tex]
[tex](x - 4)^2 + (y - 8)^2 = 6.25[/tex]
More can be learned about the equation of a circle at https://brainly.com/question/24307696
#SPJ1
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.
