Equation of circle

find an equation of the circle with indicated properties:
a. center at (-3,5), diameter 20.
b. center at origin and diameter 16.


a = (Correct answer is: 1) Wrong answer
b = (Correct answer is: 1) Wrong answer


(xx0)2+(yy0)2=r2 (x+3)2+(y5)=102 a=1(x-x_{0})^2+(y-y_{0})^2=r^2 \ \\ (x+3)^2+(y-5)=10^2 \ \\ a=1
x2+y2=82 b=1x^2+y^2=8^2 \ \\ b=1

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 1 comment:
Math student
I want the steps


Tips to related online calculators
For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
Pythagorean theorem is the base for the right triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2

Next similar math problems:

  • Find the 12
    circle_eq Find the equation of the circle with center (3,7) and circumference 8π units.
  • Find parameters
    circle_axes_1 Find parameters of the circle in the plane - coordinates of center and radius: ?
  • Circle - AG
    circle2 Find the coordinates of circle and its diameter if its equation is: ?
  • Circle
    circle_ag Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]: ?
  • Parametric equation
    line Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
  • Roots
    parabola Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
  • Center
    circle Calculate the coordinates of the circle center: ?
  • Circle's chords
    twochords In the circle there are two chord length 30 and 34 cm. The shorter one is from the center twice than longer chord. Determine the radius of the circle.
  • A cell tower
    tower A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal?
  • Add vector
    vectors_2 Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
  • Vector 7
    vectors_sum0_1 Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|.
  • Triangle IRT
    triangles_5 In isosceles right triangle ABC with right angle at vertex C is coordinates: A (-1, 2); C (-5, -2) Calculate the length of segment AB.
  • Third member
    seq_6 Determine the third member of the AP if a4=93, d=7.5.
  • GP members
    sequence_geo_8 The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16?
  • Symmetry by plane
    roviny Determine the coordinates of a image of point A (3, -4, -6) at a symmetry that is determined by the plane x-y-4z-13 = 0
  • Vector
    vectors Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5].
  • Sequence 3
    75 Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.