Question

Пожалуйста! Срочно надо В КВАДРАТЕ СО СТОРОНОЙ 17 см сделаны два круглых отверстия радиусами 2см и 3 см нацдите сумму длин окружностей этих вырезов и площадь оставшейся части квадрата

Answer 1

1) 2×2π+3×2π=(4+6)π=10π (см) - сумма длин окружностей
2) 17^17-2^2×π-3^2×π=289-13π (кв. см) - S фигуры.
Если π приблизительно равно 3,14, то 289-13π~~289-13×3,14=289-40,82=248,18 (кв. см)
Ответ: S=289-13π кв. см или примерно 248,18 кв. см.

Answer 2

Task: Find the sum of the lengths of the circular cutouts and the area of the remaining part of the square.

To find the sum of the lengths of the circular cutouts, we need to calculate the circumference of each circle and add them together. The formula for the circumference of a circle is given by:

Circumference = 2 * π * radius

Let's calculate the circumference of each circle:

1. Circle with a radius of 2 cm: - Circumference = 2 * π * 2 cm = 4π cm

2. Circle with a radius of 3 cm: - Circumference = 2 * π * 3 cm = 6π cm

Now, let's find the area of the remaining part of the square. The area of the square is given by:

Area = side * side

Since the side length of the square is 17 cm, the area of the square is:

Area = 17 cm * 17 cm = 289 cm²

To find the area of the circular cutouts, we need to calculate the area of each circle and subtract it from the area of the square. The formula for the area of a circle is given by:

Area = π * radius^2

Let's calculate the area of each circle:

1. Circle with a radius of 2 cm: - Area = π * (2 cm)^2 = 4π cm²

2. Circle with a radius of 3 cm: - Area = π * (3 cm)^2 = 9π cm²

Now, let's find the area of the remaining part of the square by subtracting the sum of the areas of the circular cutouts from the area of the square:

Remaining Area = Area of Square - (Area of Circle 1 + Area of Circle 2)

Remaining Area = 289 cm² - (4π cm² + 9π cm²)

Remaining Area = 289 cm² - 13π cm²

To summarize: - The sum of the lengths of the circular cutouts is 4π cm + 6π cm = 10π cm. - The area of the remaining part of the square is 289 cm² - 13π cm².

Please note that the exact numerical values for the lengths and areas depend on the value of π, which is approximately 3.14159.