Answer:
16π
Step-by-step explanation:
To find the area of the ellipse with the equation
2
16
+
2
16
=
1
16
x
2
+
16
y
2
=1, we need to use the formula for the area of an ellipse:
=
×
×
A=π×a×b
Where:
A is the area of the ellipse,
a is the length of the semi-major axis,
b is the length of the semi-minor axis.
In this case, the semi-major axis
a and semi-minor axis
b are both
4
4 (since
2
=
16
a
2
=16 and
2
=
16
b
2
=16), so:
=
×
4
×
4
A=π×4×4
=
×
16
A=π×16
Thus, the area of the ellipse is
16
16π square units.
