Find the circumference and area of the circle x^2+y^2-2x+5y+7=0
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Circumference= π units
Area of circle = π/4 sq units
Step-by-step explanation:
To find the radius first find the points of centre
2g= -2 2f= 5
g= -2/2 = -1. f= 5/2
centre =(-1,5/2)
√ g²+f²-c = r radius
√(-1)²+(5/2)²-7=r
√1+25/4-7 = r
√4+25-28/4 = r
√29-28/4 = r
√1/4 = r
1/2 = r
circumference of circle =2πr
=2×π×1/2 (2and1/2 cancelled)
circumference of circle = π units
area of circle = πr²
= π×(1/2)²
= π×1/4
area of circle = π/4 sq units
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