The diameter of a cake is 12 centimeters, and the area of one slice of cake is
4
�
�
�
.
2
4π cm.
2
. In terms of
�
π, how many full slices can you cut out of the cake?
A
3
B
36
C
9
D
12
D. 12
To calculate the area of the whole cake, we use the formula A = πr^2. Since the diameter is 12 cm, the radius is half of that, so r = 6 cm. Substituting this into the formula, we get:
A = π(6)^2
A = 36π
Now, to find out how many full slices can be cut out of the whole cake, we divide the area of the cake by the area of one slice:
36π / 4π = 9
So, you can cut 9 full slices out of the cake.