Which equation represents a circle with a center at -3, -5) and a radius of 6 units?
1 answer:
Answer:
(x+3)²+(y+5)² = 36
Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius of the circle
Given
Centre (-3, -5)
a = -3 and b = -5
radius r = 6units
Substitute
(x-a)²+(y-b)² = r²
(x-(-3))²+(y-(-5))² = 6²
(x+3)²+(y+5)² = 36
hence the required equation is (x+3)²+(y+5)² = 36
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Step-by-step explanation:
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Hope it's help you