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lbvjy [14]
3 years ago
11

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)
Mathematics
2 answers:
Virty [35]3 years ago
5 0

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:

P = 2L + 2W

Where

L = 10

W = 12

P = 2 * 10 + 2 * 12\\\\P = 20 + 24

P = 44\ in

Now we know that the perimeter of a circle is:

P = 2\pi r

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

2\pi r = 44\\\\r=\frac{44}{2\pi}\\\\r=7\ in

We solve the equation for r

Deffense [45]3 years ago
4 0

<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.

2\pi r=44

r=\frac{44}{2\pi }

r=7.003

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

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