Answer:
Area = 201.1
Cicumference = 50.27
Your answers are correct
Explanation:
A = Area = ?
C = Circumference = ?
SInce both the "Area" and "Circumference" are unknown, we use the formula:
![\mathrm{A = ( 1 )/( 4 ) \pi { d }^( 2 )}](https://img.qammunity.org/2023/formulas/mathematics/high-school/28fruney2rsifhlguojtg9hwh4x6zmoc1o.png)
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
![\mathrm{A = ( 1 )/( 4 ) \pi {( 16) }^( 2 )}](https://img.qammunity.org/2023/formulas/mathematics/high-school/2l0kwx5b54k98aow6e5bypgqbxxt2xt620.png)
Calculate 16 to the power of 2 and get 256
![\mathrm{A = ( 1 )/( 4 ) \pi * 256}](https://img.qammunity.org/2023/formulas/mathematics/high-school/vwx5f99jqd5989kua6aj5yx4iauqaklwv5.png)
Multiply
and 256 to get
![(256)/(4)](https://img.qammunity.org/2023/formulas/mathematics/high-school/dmwtfl8z71o8dv815gj4ajf662wznpswtx.png)
![\mathrm{A = ( 256 )/( 4 ) \pi}](https://img.qammunity.org/2023/formulas/mathematics/high-school/feg6fwu8wr5jdys7g6b4x1rym11opy6cre.png)
Divide 256 by 4 to get 64
![\mathrm{A=64\pi }](https://img.qammunity.org/2023/formulas/mathematics/high-school/m243m34eyedltbc1ki0pghu5vo7qcgc1ki.png)
Multiply 64 and π to get 201.06192983
![\mathrm{A=201.06192983}](https://img.qammunity.org/2023/formulas/mathematics/high-school/2texa1yqlkw0mnc06nojarnu7sbz4irrd4.png)
Round to the nearest tenth and get 201.1
![\mathrm{A=201.1}](https://img.qammunity.org/2023/formulas/mathematics/high-school/koe2gz2ssh6ysmfwbjjs2l0u3q93fp7o4t.png)
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.