What is the area of the largest circle that can be fit inside an 18cm by 14cm rectangle_________?
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Answer: B. 154 Sq.cm
Explanation
The diameter of the largest fitting circle is constrained by the smaller rectangle dimension. A fourteen centimeter side length results in a circular radius of seven centimeters. Applying the area formula with this radius yields one hundred fifty four square centimeters. The maximum circle inside a rectangle is limited by whichever side is shorter. The area of any circle is calculated by multiplying pi by the square of its radius. Standard fractional approximations of pi simplify manual calculations of circular areas.
Industrial cutting processes often involve stamping the largest possible circular disks from rectangular sheets. Packaging design relies on fitting circular containers inside rectangular boxes efficiently. Geometric nesting problems help optimize material usage and reduce manufacturing waste. Option a underestimates the area by using a smaller radius derived from an incorrect dimension. Option c incorrectly calculates the area of the entire enclosing rectangle instead of the circle. Option d represents an oversized area that exceeds the total space available in the rectangle.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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