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klasskru [66]
3 years ago
7

The area of the circle x² + y2 - 6x-4y +9 = 0 is​

Mathematics
2 answers:
allsm [11]3 years ago
8 0

Answer:

12.56 unit²

Step-by-step explanation:

<h3><u>Given:</u></h3>
  • x² + y² - 6x - 4y + 9 = 0
<h3><u>To find:</u></h3>
  • The area of circle
<h3><u>Solution:</u></h3>

<u>The form of the circle is: </u>

  • (x- h)² + (y-k)² = r²

<u>Let's bring the given to the form of a circle as above:</u>

  • x² + y² - 6x - 4y + 9 = 0
  • x² - 6x  + y²-  4y + 9 = 0        ⇒ combining like terms and completing square
  • x² - 6x + 9 + y²- 4y + 4 = 4    ⇒ adding 4 to both sides
  • (x-3)² + (y - 2)² = 2²                ⇒ got the form of this circle

As per the form, we got r² = 2², so the radius of circle is 2 units.

<u>The area of circle:</u>

  • A= πr² = 3.14×2² = 12.56 unit²

noname [10]3 years ago
7 0

Answer:

Your answer is here.Enjoy dude

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