Answer:
7 inches
Step-by-step explanation:
The dimension of the rectangular gift is 10 by 12 inches so let us find the perimeter of this rectangle.
Perimeter of rectangular gift = 2 (L+ W) = 2 (10 +12) = 44 inches
Since we are to use the same length of ribbon to wrap a circular clock so the perimeter or circumference should be 44 inches.
[tex]2\pi r=44[/tex]
[tex]r=\frac{44}{2\pi }[/tex]
[tex]r=7.003[/tex]
Therefore, the maximum radius of the circular clock would be 7 inches.
Answer:
The maximum radius of the circular clock is 7 in
Step-by-step explanation:
We must calculate the perimeter of the rectangle
We know that the rectangle is 10 in x 12 in
If we call L the rectangle length and we call W the width of the rectangle then the perimeter P is:
[tex]P = 2L + 2W[/tex]
Where
[tex]L = 10[/tex]
[tex]W = 12[/tex]
[tex]P = 2 * 10 + 2 * 12\\\\P = 20 + 24[/tex]
[tex]P = 44\ in[/tex]
Now we know that the perimeter of a circle is:
[tex]P = 2\pi r[/tex]
In order for the perimeter of the circumference to be equal to that of the rectangle, it must be fulfilled that:
[tex]2\pi r = 44\\\\r=\frac{44}{2\pi}\\\\r=7\ in[/tex]
We solve the equation for r
