Answer:
D= 50.92 in
Step-by-step explanation:
Step one:
Given data
The circumference of a circular tablecloth is 160 inches
We want to know if the circular table cloth can also cover a table of diameter 52 in
Step two:
let us solve for the diameter of the table cloth given that the circumference is
160in
circumference
[tex]C= 2 \pi r[/tex]
[tex]160= 2*3.142*r\\\\160= 6.284r[/tex]
divide both sides by 6.284
[tex]160/6.284= r\\\\r=25.46 in[/tex]
The diameter of the table cloth is
[tex]=25.46*2\\\\=50.92 in[/tex]
The Table cloth cannot cover the table because the diameter of the cloth is not up to the diameter of the table
