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A circle in the xy-plane has a center at (3/4, 1/2) and a ra...
SAT-math-test SAT math
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A circle in the xy-plane has a center at (3/4, 1/2) and a radius that is 3/5 units long. Which of the following is an equation of the circle?

A. (x - 3/4) + (y - 1/2) = 3/5

B. (x - 3/4)2 + (y - 1/2)2 = 9/25

C. (x + 3/4)2 + (y + 1/2)2 = 3/5

D. (x + 3/4)2 + (y + 1/2)2 = 9/25

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peter
Asked by peterrep:1.7K
University of Lagos Nigeria
19 November 2020

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judziy
Judziy answeredrep:2.0K
University of Benin Nigeria
19 November 2020
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The general equation of a circle is given as:

(x - h)2 + (y - k)2 = r2

where (h, k) is the cordinate of center and r is the radius.

Given the center as: (3/4, 1/2) and radius 3/5,

h = 3/4

k = 1/2

r = 3/5

Substituting the above values into the general equation, 

(x - 3/4)2 + (y - 1/2)2 = (3/5)2

(x - 3/4)2 + (y - 1/2)2 = 9/25

Answer: B

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