Problema Solution

calculate the equation of a circle with its center at the original and a radius of 7 units

Answer provided by our tutors

The circle whose center is at (h,k) and has a radius r is given by the equation:

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

In our case the center is (0, 0) that is h = 0 and k = 0, while the radius r = 7.

Now we can write the equation:

(x - 0)^2 + (y - k)^2 = 7^2

x^2 + y^2 = 49

The equation of the circle is x^2 + y^2 = 49.