Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Find the standard form of the equation of the circle with endpoints of a diameter at the points
(4,8) and (2,6).

Sagot :

theturtleneckguy
(
x
−
1
)
2
+
(
y
−
7
)
2
=
37
Explanation:
The center of the circle is the midpoint of the diameter, i.e.
(
7
−
5
2
,
8
+
6
2
)
=
(
1
,
7
)
Again, the diameter is the distance between the points s
(
7
,
8
)
and
(
−
5
,
6
)
:
√
(
7
−
(
−
5
)
)
2
+
(
8
−
6
)
2
=
√
12
2
+
2
2
=
2
√
37
so the radius is
√
37
.
Thus the standard form of the circles equation is
(
x
−
1
)
2
+
(
y
−
7
)
2
=
37
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.