WILL GIVE BRAINLIST Examine the diagram and information to answer the question. A circle in the coordinate plane has a radius of 6 and a center at the point (3,2). Point (x, y) lies on the circle. The triangle formed by points (3,2), (x,2) and (x, y) is a right triangle. What is the equation of the circle? Match the expression or equation to the steps used to find the equation of the circle. Step 1: Find the length of the vertical leg of the right triangle

Step 2: Find the length of the horizontal leg of the right triangle.

Step 3: Use the Pythagorean Theorem to find the equation of the circle

answERS:
(x−3)2+(y−2)2=6^2
(x−2)2+(y−3)2=6^2
|y−3|
|y−2|
|x−3|
|x−2|

 To find the equation of the circle, it is not necessary to find the legs of the triangle first.  

The length of the legs (equal) is 3√2 or  4.243

Step-by-step explanation:

The equation for a circle is similar to the Pythagorean Theorem

       a²   +   b²     = c²

( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

The a and b terms are  changed to allow insertion of  h and k to locate the center of the circle on a Cartesian plane.

You can get the information needed from

Given: radius =6 and  "a center at the point (3,2)"

Substitute  3 for h and  2 for k  and  6 for r

( x - 3 )² + ( y - 2 )² = 6²    This is the equation of the circle .

From the diagram, it appears that x-3 = y-2

So, in the equation, we can substitute 2(x²) = 36

x² = 36/2 .   x² = 18

√x² = √18 = √9(2)

x = 3√2   =4.2426

the length of the horizontal leg is 4.243

Substitute for x in to find  x+3  the coordinate (x,2)

the coordinate x, 2 is  (7.24, 2)

Substitute for y in to find  y+2, the length of the vertical leg is 4.243.

y + 2 = 6.243  

So the coordinate (x,y) on the circle is (7.24, 6.24)

This does not account for Step 1 and  Step 2 in the question, matching expressions or equations to the steps. I hope you will be able to sort that our with the information here.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

college