Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write the equation in standard form for the circle x2+y2−16=0x^2+y^2-16= 0.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Convert equations of circles from general to standard formright chevron icon

Full solution

Q. Write the equation in standard form for the circle x2+y2−16=0x^2+y^2-16= 0.
  1. Identify equation and goal: Identify the given equation and the goal.\newlineThe given equation is x2+y2−16=0x^2 + y^2 - 16 = 0. We need to write this equation in the standard form of a circle, which is (x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2, where (h,k)(h, k) is the center of the circle and rr is the radius.
  2. Move constant term: Move the constant term to the other side of the equation.\newlineTo get the equation in standard form, we need to isolate the terms with xx and yy on one side and move the constant to the other side. We do this by adding 1616 to both sides of the equation.\newlinex2+y2−16+16=0+16x^2 + y^2 - 16 + 16 = 0 + 16\newlineThis simplifies to:\newlinex2+y2=16x^2 + y^2 = 16
  3. Verify standard form: Verify the standard form of the circle.\newlineThe equation x2+y2=16x^2 + y^2 = 16 is now in the standard form of a circle with a center at (0,0)(0, 0) and a radius of 44, since 1616 is the square of 44.

More problems from Convert equations of circles from general to standard form

Question
Write the equation in standard form for the circle x2+y2−9=0x^2+y^2-9=0.\newline_____
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the equation in standard form for the circle with radius 22 centered at the origin.\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the center of the circle x2+y2−4=0x^2 + y^2 - 4 = 0?\newlineSimplify any fractions.\newline(_____,______)
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the center of the circle x2+y2=144x^2 + y^2 = 144??\newlineSimplify any fractions.\newline(__,__)\newline
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the radius of the circle x2+y2=36x^2 + y^2 = 36?\newlineSimplify any fractions.\newline____
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the equation in standard form for the circle with radius 1111 centered at the origin. ______
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the equation in standard form for the circle x2+y2+6x−1=0x^2+y^2+6x-1= 0.
Get tutor helpright-arrow

Posted 10 months ago

Question
Write the equation in standard form for the circle x2+y2−4x+7=0x^2+y^2-4x+7= 0.
Get tutor helpright-arrow

Posted 10 months ago

Question
Write the equation in standard form for the circle x2+y2+10y−25=0x^2+y^2+10y-25= 0.
Get tutor helpright-arrow

Posted 10 months ago

Question
You pick a card at random, put it back, and then pick another card at random.\newline44\newline55\newline66\newline77\newlineWhat is the probability of picking a number greater than 55 and then picking a 44 ?\newlineWrite your answer as a percentage.
Get tutor helpright-arrow

Posted 1 month ago

View all (12)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant