Question

What is the equation, in standard form, of a circle with center (−5, −9) and radius 7?

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x__^2+y__^2=___

Answer 1

• center(-5,-9)=(h,k)
• Radius=7=r

Standard equation

• (x-h)²+(y-k)²=r²
• (x+5)²+(y+9)²=7²
• (x+5)²+(y+9)²=49

Answer 2

Solution given:

Centre(h,k)=(-5,-9)

radius (r)=7

we have

Equation of a circle is;

(x-h)²+(y-k)²=r²

Substituting value;

(x+5)²+(y+9)²=7²

(x+5)²+(y-9)²=49 is a required equation of a circle.