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 t
o frame a circular clock. What is the maximum radius of the circular clock? Round to the nearest whole number.
(JUSTIFY)
2 answers:
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:

Where




Now we know that the perimeter of a circle is:

In order for the perimeter of the circumference to be equal to that of the rectangle, it must be fulfilled that:

We solve the equation for r
<u>Answer:</u>
7 inches
<u>Step-by-step explanation:</u>
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.



Therefore, the maximum radius of the circular clock would be 7 inches.
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