Question

Find the standard equation of the circle having the given center and radius. Center (8,10) radius 2/5

Answer 1

The equation in standard form with center (h,k) and radius r is given by the following formula:

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

In this case, note that we have the following data:

(h, k) = (8, 10)

r = 2/5 = 0.4

Replacing this data into the standard equation of a circle, we obtain:

`(x-8)^2+(y-10)^2=((2)/(5))^2`

So that, we can conclude that the correct answer is:

`(x-8)^2+(y-10)^2=((2)/(5))^2`