Maths · Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre
Between a square of perimeter and a circle of circumference which figure has a l
Between a square of perimeter \( 44 \mathrm{cm} \) and a circle of circumference \( 44 \mathrm{cm} \) which figure has a larger area and by how much?
- A. Square, \( 33 \mathrm{cm}^{2} \)
- B. Circle, \( 33 \mathrm{cm}^{2} \)
- C. Both have equal areas
- D. square, \( 95 \mathrm{cm}^{2} \)
Step-by-step solution
Square perimeter 44 cm gives side 11 cm, area = 121 cm². Circle circumference 44 cm gives radius = 22/π cm, area = 484/π cm² ≈ 154.06 cm². Circle area is larger by 484/π - 121 = (484 - 121π)/π ≈ 33 cm².
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