Question

Найдите площадь заштрихованной фигуры, если стороны прямоугольника равны 8 см и 12 см, а радиус окружности 2 см

Answer 1

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Answer 2

Calculation of the Area of the Shaded Figure

To find the area of the shaded figure, we need to calculate the area of the rectangle and subtract the area of the circle.

Given: - Length of the rectangle = 8 cm - Width of the rectangle = 12 cm - Radius of the circle = 2 cm

To calculate the area of the rectangle, we use the formula: Area = Length * Width. Substituting the given values, we have: Area of the rectangle = 8 cm * 12 cm = 96 cm^2.

To calculate the area of the circle, we use the formula: Area = π * Radius^2. Substituting the given value of the radius (2 cm) and using the approximation π = 3.14, we have: Area of the circle = 3.14 * (2 cm)^2 = 12.56 cm^2.

To find the area of the shaded figure, we subtract the area of the circle from the area of the rectangle: Area of the shaded figure = Area of the rectangle - Area of the circle = 96 cm^2 - 12.56 cm^2 = 83.44 cm^2.

Therefore, the area of the shaded figure is 83.44 cm^2.