Find the standard form for the equ of a circle (xh)² + (y - k)² = 7² with a diameter that has endpoints ( – 6, 6) and (1, — 9).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the standard form for the equation
of a circle
(x − h)² + (y − k)² = p²
with a diameter that has endpoints
( – 6, 6) and (1, — 9).
h
=
k =
r
Transcribed Image Text:Find the standard form for the equation of a circle (x − h)² + (y − k)² = p² with a diameter that has endpoints ( – 6, 6) and (1, — 9). h = k = r
Determine each of the following for the
circle whose equation is
x² + 12x + y² + 10y + 57
The radius of the circle is:
The equation of the circle in standard (center,
radius) form is:
The center of the circle is:
Graph the circle:
-8-7 -5-4
12
10
9
&
7
6
5
4
Clear All Draw:
3
2
-4
+-5
-6
-7
-8
9
-10
-11
=
0.
8 9 10 11 12
Transcribed Image Text:Determine each of the following for the circle whose equation is x² + 12x + y² + 10y + 57 The radius of the circle is: The equation of the circle in standard (center, radius) form is: The center of the circle is: Graph the circle: -8-7 -5-4 12 10 9 & 7 6 5 4 Clear All Draw: 3 2 -4 +-5 -6 -7 -8 9 -10 -11 = 0. 8 9 10 11 12
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