If the circumference of a circle is equal to that of a square, the area of the circle is larger than that of the square______ (judge right or wrong)

If the circumference of a circle is equal to that of a square, the area of the circle is larger than that of the square______ (judge right or wrong)


Assuming that the circumference of the circle and the circumference of the square are 12.56 cm, then the side length of the square is a = C △ 4 = 12.56 △ 4 = 3.14 (CM), the area of the square is s = A2 = 3.14 × 3.14 = 9.8596 (CM), the radius of the circle is r = C △ 2 π = 12.56 △ 4 (2 × 3.14) = 2 (CM), and the area of the circle is s = A2 = 3.14 × 3.14 = 9.8596 (CM) S = π R2 = 3.14 × 22 = 12.56 (square centimeter), 12.56 > 9.8596, then the area of circle is larger than that of square



If the circumference of a circle is equal to that of a square, the area of the circle is larger than that of the square______ (judge right or wrong)


Assuming that the circumference of the circle and the circumference of the square are 12.56 cm, then the side length of the square is a = C △ 4 = 12.56 △ 4 = 3.14 (CM), the area of the square is s = A2 = 3.14 × 3.14 = 9.8596 (CM), the radius of the circle is r = C △ 2 π = 12.56 △ 4 (2 × 3.14) = 2 (CM), and the area of the circle is s = A2 = 3.14 × 3.14 = 9.8596 (CM) S = π R2 = 3.14 × 22 = 12.56 (square centimeter), 12.56 > 9.8596, then the area of circle is larger than that of square



If the area of a circle is equal to that of a square, the circumference of the circle is greater than that of the square. Right or wrong, why


Wrong
Let the radius of the circle be r and the side length of the square be a
∴πr²=a²
That is, a = √π * r
The circumference of the circle is 2 π r = 6.28r
The perimeter of the square is 4A = 4 √π * r ≈ 7.09r
The circumference of the circle is less than that of the square



If the circumference of a circle is equal to that of a square, then the area of the circle is compared with that of the square, the area of the circle () the area of the square
A. Less than B. greater than C. equal to D. approximately equal to


Let the circumference of the circle and the square be 4 π, then the radius of the circle is 2, and the side length of the square is π, so the area of the circle: π × 22 = 4 π, and the area of the square: π 2. The ratio of the area of the square and the area of the circle is: π 2:4, π = π: 4; so the area of the circle is larger than that of the square