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Sam has a greeting card business where he creates and sells hand-made greeting cards for all occassions. His current card requires a heart with the given dimensions on the front in each of the corners. Each heart is made of a circle and a square, where the diameter of the circle is the same as the length of a side of the square, 2 inches. Calculate the area of each heart for Sam's greeting card.

Sam has a greeting card business where he creates and sells hand-made greeting cards-example-1
User Siledh
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1 Answer

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Answer: 7.14 in²

Explanation:

1) Find the area of the square: 2*2 = 4 square inches

2) We can see that there are 2 semi-circles with the same diameter or 2 inches. Use the area of a circle formula: A = r².

Since the diameter is 2 inches, the radius is diameter/2 which is 1 inch.

Plug this information into the formula.

A=

= 3.14 inches

3) 4 + 3.14 = 7.14 inches²

The answer is the second option, 7.14 inches²

User Brandon Truong
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