Direction: write each general form a circle in standard form (center-radius form) .Then given the coordinate of the center and the radius
6.x²+y²-9=0
7.x²+y²-16=0
8.x²+y²-36=0
9.x²+y²+10x+4y-3=0
10.x²+y²-100=0
pls pa help nman Po need ko lang
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✒️CIRCLE EQUATIONS
Standard Form:
Center-Radius:
The equation of the circle in standard form is written as:
In which (h,k) is the center and r is the radius. From general form, rearrange the equation into:
Number 6:
Rearrange the given equation.
Find the center and the radius.
Therefore, the standard form of the given equation is x² + y² = 9, the center is at (0,0), and its radius is 3 units
Number 7:
Rearrange the given equation.
Find the center and the radius.
Therefore, the standard form of the given equation is x² + y² = 16, the center is at (0,0), and its radius is 4 units
Number 8:
Rearrange the given equation.
Find the center and the radius.
Therefore, the standard form of the given equation is x² + y² = 36, the center is at (0,0), and its radius is 6 units
Number 9:
Rearrange the given equation.
Complete the squares.
Find the center and the radius.
Therefore, the standard form of the given equation is (x+5)² + (y+2)² = 32, the center is at (-5, -2), and its radius is 4√2 units
Number 10:
Rearrange the given equation.
Find the center and the radius.
Therefore, the standard form of the given equation is x² + y² = 100, the center is at (0,0), and its radius is 10 units
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