Answer: The area of one semicircle is approximately 830.53 square inches.
Explanation:
The area of a circle is given by the formula:
A = πr²
where A is the area of the circle and r is its radius.
The radius of the circle cut out of the piece of wood is about 23 inches. Therefore, its area is:
A = πr²
A = π(23)²
A = π(529)
A ≈ 1661.06 square inches
The carpenter cuts the circle into two semicircles. Therefore, the area of one semicircle is:
A/2 ≈ 830.53 square inches
Therefore, the area of one semicircle is approximately 830.53 square inches.
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