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Rainbow [258]
2 years ago
8

Given the equation, what is the center and radius of the circle? (X-2) ^2+ (Y+11)^2=100

Mathematics
2 answers:
arlik [135]2 years ago
6 0

We are <em>given</em> the <em>equation</em> of circle (x - 2)² + (y + 11)² = 100 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the <em>centre</em> of the <em>circle</em> and r being the radius ;

So, <em>consider</em> the <em>equation</em> of circle ;

{:\implies \quad \sf (x-2)^{2}+(y+11)^{2}=100}

Can be further <em>written</em> as ;

{:\implies \quad \sf (x-2)^{2}+\{y-(-11)\}^{2}={10}^{2}}

On <em>comparing</em> this equation with the standard equation of Circle, we will get, centre and radius as follows

  • Centre = (2, -11)
  • Radius = 10 units
LekaFEV [45]2 years ago
3 0

Answer:

Center: (2, -11)

Radius: 10

Step-by-step explanation:

(x - 2)² + (y + 11)² = 100

(x - h)² + (y - k)² = r²

-------------------------------

x - 2 = 0

  +2   +2

x = 2

------------

y + 11 = 0

   -11    -11

y = -11

------------------------------

r² = 100

r = √100

r = 10

----------------------------

Center: (h, k)

Radius: r

-------------------------------

Center: (2, -11)

Radius: 10

I hope this helps!

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