A square's perimeter equals a 16 cm by 14 cm rectangle's perimeter. Find the circumference of a semicircle whose diameter equals the square's side (rounded to two decimals)?
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Answer: A. 23.57 cm
Explanation
The rectangle perimeter is calculated as sixty centimeters, which equals the perimeter of the square. Dividing the square perimeter by four gives a side length of fifteen centimeters for the square. A semicircle with this diameter has a circumference of approximately twenty three point fifty seven centimeters. Perimeters measure the total outer boundary distance of geometric shapes. A square has four equal sides, allowing easy side length calculation from total perimeter. The circumference of a semicircle equals half of the full circle circumference plus its diameter.
Geometry problems often combine multiple shapes, requiring step by step perimeter and area analysis. Manufacturing parts with mixed straight and curved edges requires calculating composite perimeters. Accurate rounding to two decimal places is standard in engineering and mathematical reporting. Option b suggests forty seven point fourteen centimeters which calculates a full circle instead of a semicircle. Option c proposes eighty four point ninety two centimeters due to an incorrect radius calculation. Option d overestimates the semicircle circumference by applying an incorrect formula.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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