Question

Найдите площадь квадрата описанного около окружности радиуса 7

Answer 1

Сторона описанного около окружности квадрата равна диаметру окружности:
a = d = 2r = 2*7 = 14
Тогда его площадь:
S = a² = 14² = 196
ответ:196

Answer 2

Calculating the Area of a Square Inscribed in a Circle

To find the area of a square inscribed in a circle with a radius of 7, we can use the relationship between the diagonal of the square and the radius of the circle.

Diagonal of the Square (d) and Radius of the Circle (r) Relationship: The diagonal of the square is equal to the diameter of the circle, which is twice the radius.

Using the Relationship: We can use the relationship between the diagonal of the square and the radius of the circle to find the length of the diagonal, and then use that to calculate the area of the square.

Calculation Steps: 1. Find the length of the diagonal of the square using the radius of the circle. 2. Use the length of the diagonal to calculate the area of the square.

Calculation Steps

1. Finding the Length of the Diagonal (d): - The diagonal of the square is equal to the diameter of the circle, which is twice the radius. - Therefore, the length of the diagonal (d) is calculated as: - d = 2 * r - Substituting the given radius (r = 7), we get: d = 2 * 7 = 14.

2. Calculating the Area of the Square (A): - The area of the square can be calculated using the formula: A = (d^2) / 2, where d is the length of the diagonal. - Substituting the length of the diagonal (d = 14) into the formula, we get: - A = (14^2) / 2 - A = 196 / 2 - A = 98.

Therefore, the area of the square inscribed in a circle with a radius of 7 is 98 square units.