# 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.

Result

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

#### Solution:

$(x-x_{0})^2+(y-y_{0})^2=r^2 \ \\ (x+3)^2+(y-5)=10^2 \ \\ a=1$
$x^2+y^2=8^2 \ \\ b=1$

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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.

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