Answer: The circumference of the circle is: "37. 7 in." ; or, write as:
" 12 [tex] \pi [/tex] in. " .
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Explanation:
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A square has all 4 (four) sides of equal length.
If the perimeter of the square = 48 inches;
the side length of each side of the square = "48 in. ÷ 4 = 12 in." ;
→ "12 in. = the diameter, "d", of the circle within the square" .
The formula for the Circumference, "C" , of a circle, is:
"C = [tex] \pi [/tex] * d " ;
C = [tex] \pi [/tex] * d ;
d = 12 in.
C = " 12 [tex] \pi [/tex] in. " ;
or; calculate the Circumference, "C", of the circle; using: "3.14" as an approximation for [tex] \pi [/tex] ;
C = [tex] \pi [/tex] * d ;
= (3.14) * (12 in.) ;
= 37.68 in. ; round to: "37. 7 in." .
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Answer: The circumference of the circle is: "37. 7 in." ; or, write as:
" 12 [tex] \pi [/tex] in. " .
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