Question

A dinner plate fits snugly in a square box with perimeter 48 inches. what is the circumference of the plate

Answer 1

Answer: The circumference of the circle is: "37. 7 in." ; or, write as:
" 12
`\pi` in. " .
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Step-by-step 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 =
`\pi` * d " ;

C =
`\pi` * d ;

d = 12 in.

C = " 12
`\pi` in. " ;

or; calculate the Circumference, "C", of the circle; using: "3.14" as an approximation for
`\pi` ;

C =
`\pi` * 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
`\pi` in. " .
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