Answer:
The standard form of the equation of a circle is
(
x
−
a
)
2
+
(
y
−
b
)
2
=
r
2
where (a,b) are the coords of the centre and r , the radius.
x
2
+
y
2
=
16
is in this form
with a = b = 0 and r = 4
hence this circle has centre at the origin (0,0) and radius 4
The intercepts will therefore be (± 4,0) and (0, ± 4 )