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Chapter 11: Q.255 (page 1156)

In the following exercises, write the standard form of the equation of the circle with the given information:

Radius is 7unitsand center is at(-2,-5)

Short Answer

Expert verified

The equation of the circle isx2+4x+y2+10y=20

Step by step solution

01

Given information

The radius of the given circle is 7units

And the center is at(-2,-5)

02

use the standard form of equation and substitute the corresponding values 

The standard form of equation can be given as (x-h)2+(y-k)2=r2

Substituting the values we get
role="math" localid="1645418938562" (x-(-2))2+(y-(-5))2=72(x+2)2+(y+5)2=72

On simplifying we get,

x2+4x+4+y2+10y+25=49x2+4x+y2+10y=20

03

Conclusion 

The equation of the circle isx2+4x+y2+10y=20

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