Question

Знайдіть площу круга, вписаного в квадрат зі стороною 10 см.

Answer 1

Площа круга = 78.5 см

Answer 2

Calculating the Area of a Circle Inscribed in a Square

To find the area of a circle inscribed in a square with a side length of 10 cm, we can use the formula for the area of a circle, which is given by the formula A = πr^2, where r is the radius of the circle.

Calculating the Radius of the Inscribed Circle

The radius of the inscribed circle can be found by dividing the side length of the square by 2, as the radius of the inscribed circle is equal to half the side length of the square.

r = 10 / 2 = 5 cm

Calculating the Area of the Inscribed Circle

Now, we can calculate the area of the inscribed circle using the formula A = πr^2.

A = π * 5^2 = 25π cm^2

Therefore, the area of the circle inscribed in the square with a side length of 10 cm is 25π square centimeters.