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Write the equation in standard form for the circle with center (0,2) and radius 10

Write The Equation In Standard Form For The Circle With Center 02 And Radius 10 class=

Sagot :

A circle with a radius of 10 and a center (0,2) is given. It is required to find the equation in standard form for the circle.

Recall that the Standard Form of the Equation of a Circle with center (h,k), and radius, r is given as:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Substitute the center (h,k)=(0,2) and the radius, r=10 into the formula:

[tex](x-0)^2+(y-2)^2=10^2[/tex]

Simplify the expressions:

[tex]\Rightarrow x^2+(y-2)^2=100[/tex]

Hence, the required equation in standard form is x²+(y-2)²=100.

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