The equation of a circle centered at the origin is x2 + y2 = 16. What is the radius of the circle?

A. 8

B. 16

C. 4

D. 256

The radius of circle is 4

Step-by-step explanation:

Given as:

The equation of circle is given as:

x² + y² = 16

Now The standard equation of

(x - h) ² + (y - k) ² = r²

where h, k are center of circle

r is the radius of circle

From given circle equation x² + y² = 16 can be written as

(x - 0) ² + (y - 0) ² = (4) ²

So, The center of this circle is (h, k) = (0, 0) And radius of circle = 4

Hence The radius of circle is 4 Answer

C 4

Step-by-step explanation:

well 4x2 + 4x2 = 16

and radius is 1/2 of diameter so 1/2 of 8 is 4