Question

A circle is graphed with its center on the origin.The area of the circle is 49 square units.What are the coordinates of the x-intercepts of the graph? Round to the nearest tenth

Answer 1

3.95 and -3.95

Explanation:

To graph a circle you can use the formula or (x – h)^2 + (y – k)^2 = r^2. So substituting in the given, we get x^2+y^2=49/pi. The x intercept is when y=0. So x^2=49/pi and so

x = sqrt(49/pi) and rounding to the nearest tenth, we get 3.95 and -3.95 because it isn’t a principal square root.