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>
<h3><u>Solution:</u></h3>
<u>The form of the circle is: </u>
<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
