Q:

Samantha’s rectangular gift is 10 inches. by 12 inches and is framed with a ribbon. She wants to use the same length of ribbon to frame a circular clock. What is the maximum radius of the circular clock? Round to the nearest whole number.(JUSTIFY)

Accepted Solution

A:
Answer:7 inchesStep-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 inchesSince 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.