Question

Need help please and thank you

Answer 1

Given:

Center (3.2, -2.1)

Radius = 4.3

To find:

The equation of the circle.

Solution:

The standard form of an equation of a circle:

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

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

Here (h, k) = (3.2, -2.1) and r = 4.3

Substitute this in the standard form.

$(x-3.2)^{2}+(y-(-2.1))^{2}=(4.3)^{2}$

$(x-3.2)^{2}+(y+2.1)^{2}=(4.3)^{2}$

The equation of the circle is $(x-3.2)^{2}+(y+2.1)^{2}=(4.3)^{2}$.