Answer:
a) Center is (0,0) and radius r = 5
b) Center is (0,0) and radius r = 1
d) Center is (5,3) and radius r = 9
e Center is (-2,1) and radius r = 3
g) Center is (-1,-3) and radius r = 7
h) Center is (0,0) and radius r = 2.5
Step-by-step explanation:
<u><em>a)</em></u>
Given circle x² + y² = 25
The standard form of circle equation is
( x-h)² +(y-0)² = r²
Center is (0,0) and radius r = 5
b)
Given circle x² + y² = 1
The standard form of circle equation is
( x-h)² +(y-0)² = r²
Center is (0,0) and radius r = 1
d)
Given circle (x-5)² + (y-3)² = 81
The standard form of circle equation is
( x-h)² +(y-0)² = r²
(x-5)² + (y-3)² = 9²
Center is (5,3) and radius r = 9
e)
Given circle (x+2)² + (y+1)² = 9
The standard form of circle equation is
( x-h)² +(y-0)² = r²
(x+2)² + (y+1)² = 3²
Center is (-2,-1) and radius r = 3
g)
Given circle (x+1)² + (y+3)² = 49
The standard form of circle equation is
( x-h)² +(y-0)² = r²
(x+1)² + (y+3)² = 7²
Center is (-1,-3) and radius r = 7
h)
Given circle x² + y² = 6.25
The standard form of circle equation is
( x-h)² +(y-0)² = r²
Given circle x² + y² = (2.5)²
Center is (0,0) and radius r = 2.5
