Concentric is from the Latin word concentricus, from com ("together") plus centrum ("center" or "circle"). So, concentric things have a center in common. If you play darts, you aim for the smallest red dot of those colorful concentric circles. Although it's usually used to describe circles, ideas can also be concentric if they have a common point, such as when your dreams revolve around a concentric theme of flying. The opposite word is eccentric ("not having a common center") like that oddball neighbor you have nothing in common with.
Step-by-step explanation:
To find the center and radius, you put the equation in center-radius form by completing the square.
Once the equation is in center-radius form, the center will be the opposite of the constants that are grouped with the x and y terms. Concentric circles have the same center and the radius of a circle is half of the diameter (which is given), therefore:
Answers & Comments
Answer:
Concentric is from the Latin word concentricus, from com ("together") plus centrum ("center" or "circle"). So, concentric things have a center in common. If you play darts, you aim for the smallest red dot of those colorful concentric circles. Although it's usually used to describe circles, ideas can also be concentric if they have a common point, such as when your dreams revolve around a concentric theme of flying. The opposite word is eccentric ("not having a common center") like that oddball neighbor you have nothing in common with.
Step-by-step explanation:
To find the center and radius, you put the equation in center-radius form by completing the square.
x2 + 20x + y2 - 14y + 145 = 0
x2 + 20x + y2 - 14y = -145
(x2 + 20x + 100) + (y2 - 14y + 49) = -145 + 100 + 49
(x + 10)2 + (y - 7)2 = 4
Once the equation is in center-radius form, the center will be the opposite of the constants that are grouped with the x and y terms. Concentric circles have the same center and the radius of a circle is half of the diameter (which is given), therefore:
Center: (-10, 7) Radius: 6