Question

A circle has a radius of 7/4 units and is centered at (−2.5,−4.4)

Answer 1

Are you asking for the expression?

If so, you plug into the format (x - h)² + (y - k)² = r² where (h, k) is the center and r is the radius.

(x + 2.5)² + (y + 4.4)² = (7/4)²

Simplify to get your equation and answer:

(x + 2.5)² + (y + 4.4)² = 49/16

Answer 2

Answer:

$(x+2.5)^2+(y+4.4)^2=\dfrac{49}{16}$.

Step-by-step explanation:

Consider the complete question is " A circle has a radius of 7/4 units and is centered at (−2.5,−4.4). Write the equation of this circle."

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

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

Substitute h=-2.5, k=-4.4 and r=7/4 in the above formula.

$(x-(-2.5))^2+(y-(-4.4))^2=(\dfrac{7}{4})^2$

$(x+2.5)^2+(y+4.4)^2=\dfrac{49}{16}$

Hence the equation of circle is $(x+2.5)^2+(y+4.4)^2=\dfrac{49}{16}$.