Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,894 users

Geometry help?? 10 POINTS?

0 votes

 For the circle with equation (x – 2)2 + (y + 3)2 = 9, answer each question: 
a) What are the coordinates of the center?
b) What are the radius and diameter of the circle?
c) Graph the circle.

asked Jun 8, 2013 in GEOMETRY by andrew Scholar

4 Answers

0 votes

a.The circle equation is (x – 2)2 + (y + 3)2 = 9

genral formula of circle equation is (x -h)^2 + (y-k)^2 = r^2

( x - 2 )^2 + ( y - (-3) )^2 = 3^2

center (h,k) = ( 2, -3 ).

answered Jun 10, 2013 by anonymous
0 votes

b.The circle equation is (x – 2)2 + (y + 3)2 = 9

genral formula of circle equation is (x -h)^2 + (y-k)^2 = r^2

( x - 2 )^2 + ( y - (-3) )^2 = 3^2

center (h,k) = ( 2, -3 ).and radius (r) = 3.

The diameter of the circle is d = 2r ⇒d = 2(3) ⇒ d = 6

answered Jun 10, 2013 by anonymous
0 votes

c) To graph of the circle.

answered Jun 11, 2013 by anonymous
0 votes

a) The circle equation is (x - 2)2 + (y + 3)2 = 9

(x - 2)2 + (y - (-3))2 = 32

Compare it to standard form of a circle equation is image

Where center is (h ,k ) and radius of circle is r .

center of circle is (2,-3)

b) Radius of circle r = 3

Diameter = 2r = 6

c) To graph the circle we need few more coordinates.

Center at (2,-3) and r = 2, So we plot

Up (2, -3+3) = (2, 0)

Down (2, -3-3) = (2, -6)

Left (2-3, -3) = (-1, -3)

Right (2+3, -3) = (5, -3)

Graph

1. draw the coordinate plane.

2. Plot the center at (2,-3).

3. Plot 4 points " radius" away from the center in the up, down, left and right direction.

4. Sketch the circle.

 

answered May 23, 2014 by david Expert

Related questions

asked Dec 24, 2016 in ALGEBRA 2 by anonymous
asked Oct 20, 2018 in ALGEBRA 2 by anonymous
asked Sep 15, 2018 in TRIGONOMETRY by anonymous
asked Jul 3, 2016 in PRECALCULUS by anonymous
asked Jul 1, 2016 in PRECALCULUS by anonymous
asked Jul 28, 2014 in PRECALCULUS by anonymous
...