Answer:
Area = 201.1
Cicumference = 50.27
Your answers are correct
Step-by-step explanation:
A = Area = ?
C = Circumference = ?
SInce both the "Area" and "Circumference" are unknown, we use the formula:
[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi { d }^{ 2 }}[/tex]
Remember that:
The diameter is the length of the line through the center
and
The radius is half the diameter
Given:
Diameter = 16
Now we substitute "16" for "d" into the formula and solve
[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi {( 16) }^{ 2 }}[/tex]
Calculate 16 to the power of 2 and get 256
[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi \times 256}[/tex]
Multiply [tex]\frac{1}{4}[/tex] and 256 to get [tex]\frac{256}{4}[/tex]
[tex]\mathrm{A = \dfrac{ 256 }{ 4 } \pi}[/tex]
Divide 256 by 4 to get 64
[tex]\mathrm{A=64\pi }[/tex]
Multiply 64 and π to get 201.06192983
[tex]\mathrm{A=201.06192983}[/tex]
Round to the nearest tenth and get 201.1
[tex]\mathrm{A=201.1}[/tex]
Next we need to find the "Circumference"
Formula for finding circumference is:
C = πd
Given:
Diameter = 16
Now we substitute "16" for "d" into the formula and solve
C = π(16)
Multiply 16 and π to get 50.265482457
C = 50.265482457
Round to the nearest hundreth and get 50.27
C = 50.27
So, your answers are correct.
The only mistake that could happen is whether you need to round to the nearest hundreth or tenth.
