Samantha rectangular gift is 10 inches. by 12 inches and is framed with a ribbon. She wants to use the same lengths of ribbon to frame a circular clock. what is the maximum radius of the circular clock?

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 of the clock should be no more than 44 inches.

2πr = 44

r = 44/2π

r = 7.003

Therefore, the maximum radius of the circular clock is 7 inches.