2. The area for a circle is as follows:
A = π[tex]{r^2} [/tex]
The radius of the circle is 4 in, so we plug that into the equation.
A = π (4[tex]{in.^2} [/tex])
4 [tex]{in.^2} [/tex] = (4 in.)(4 in.) = 16 [tex]{in.^2} [/tex]
A = 16π [tex]{in.^2} [/tex]
This is the area for the whole pizza, so divide that by 2 to get the area of the pepperoni
a) 8π [tex]{in.^2} [/tex]
For the bacon, we can just divide the value we already have by 2, since it is half the area of the pepperoni
b) 4π [tex]{in.^2} [/tex]
3. This question is asking for the circumference, whose equation is as follows:
C = 2 π r
We can use the area formula, A = π[tex]{r^2} [/tex] to find the radius of this circle
36π = π[tex]{r^2} [/tex]
Divide both sides by π:
36 = [tex]{r^2} [/tex]
Square root both sides:
r = 6 in.
Plug in this value to the circumference formula, C = 2 π r
C = (2)(π)(6 in.)
Your final answer is:
C = 12π in.
