Question

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

Answer 1

Your answer is here.Enjoy dude

Answer 2

12.56 unit²

Explanation:

Given:

• x² + y² - 6x - 4y + 9 = 0

To find:

• The area of circle

Solution:

The form of the circle is:

• (x- h)² + (y-k)² = r²

Let's bring the given to the form of a circle as above:

• 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.

The area of circle:

• A= πr² = 3.14×2² = 12.56 unit²