Tachs Math · Question of the Day

Tachs Math Question of the Day

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Thursday, September 17, 2026

Refer to the figure. A rectangle measuring $12$ cm by $8$ cm has a semicircle removed from one of its longer sides (the semicircle's diameter lies along the $12$ -cm side and equals $8$ cm). What is the area of the remaining shaded region?

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Question of the Day

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$70.88$ sq cm (correct answer)
$45.76$ sq cm
$20.88$ sq cm
$75.44$ sq cm

Explanation: Rectangle area: $12 \times 8 = 96$ . Semicircle radius: $8/2 = 4$ , area: $\tfrac{1}{2}\pi r^2 = \tfrac{1}{2}(3.14)(16) = 25.12$ . Shaded area: $96 - 25.12 = 70.88$ sq cm. (B) subtracts a full circle instead of a semicircle. (C) uses radius $8$ incorrectly. (D) adds instead of subtracts a quarter circle.