In a square, the side is 4 cm find the perimeter, the area of the square, the radii of the inscribed and circumscribed circles.
| May 25, 2021 | education
The perimeter of the square ABCD is equal to: Ravsd = 4 * AB = 4 * 4 = 16 cm.
The area of the square is equal to: Savsd = AB ^ 2 = 42 = 16 cm2.
The radius of the inscribed circle is half the length of the side of the square. r = AB / 2 = 2 cm.
The radius of the circumscribed circle is half the length of the diagonal of the square.
R = (√AB ^ 2 + AD ^ 2) / 2 = 4 * √2 / 2 = 2 * √2 cm.
Answer: The radii are 2 cm, 2 * √2 cm, the area is 16 cm2, the perimeter is 16 cm.
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