Question

What is the radius of the circle given by the equation (x-2)^2+y^2=14

Answer 1

3.742

Explanation:

R is the radius, and in the equation 14 is r^2, so take the square root of 14.

If it says round to the nearest thousandth, round to the third decimal place.

Answer 2

The general equation of a circle is
(x-a) ^ 2 + (y-b) ^ 2 = r ^ 2
for this case the values of a and b are
a = 2
b = 0
The radius of the circle is
r ^ 2 = 14
r = (14) ^ (1/2) = 3.74