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A circle in the xyxyx, y-plane has a center at \left(\dfrac{3}{4\,},\dfrac{1}{2}\right)(
4
3
​
,
2
1
​
)left parenthesis, start fraction, 3, divided by, 4, end fraction, comma, start fraction, 1, divided by, 2, end fraction, right parenthesis and a radius that is \dfrac{3}{5}
5
3
​
start fraction, 3, divided by, 5, end fraction units long. Which of the following is an equation of the circle

Sagot :

The equation of the circle will be (x – 3/4)² + (y – 1/2)² = 9/25. Then the correct option is A.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x – h)² + (y – k)² = r²

We have

(h, k) = (3/4, 1/2)

r = 3 / 5

Then the equation of circle will be

(x – 3/4)² + (y – 1/2)² = (3/5)²

(x – 3/4)² + (y – 1/2)² = 9/25

Then the correct option is A.

The missing options are given below.

A. (x – 3/4)² + (y – 1/2)² = 9 / 25

B. x² + y² = 9/25

C. (x – 3/4)² + (y – 1/2)² = 25 / 9

D. (x – 1/2)² + (y – 3/4)² = 9/25

Learn more about the equation of a circle here:

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