Question

радіус кола дорівнює 8 см . знайти довжину дуги та площу круга , якщо вони мають центральний кут 120 градусів

Answer 1

Ответ:

15

Пошаговое объяснение:

120:8=15

вроде правильно

Answer 2

Calculation of Arc Length and Area of a Circle

To find the arc length and area of a circle with a radius of 8 cm and a central angle of 120 degrees, we can use the following formulas:

1. Arc Length: - The formula to calculate the arc length is given by: Arc Length = (θ/360) × 2πr, where θ is the central angle and r is the radius of the circle. - Substituting the given values, we have: Arc Length = (120/360) × 2π × 8.

2. Area of a Circle: - The formula to calculate the area of a circle is given by: Area = πr^2, where r is the radius of the circle. - Substituting the given value, we have: Area = π × 8^2.

Let's calculate the values using these formulas.

Calculation:

1. Arc Length: - Arc Length = (120/360) × 2π × 8 - Arc Length = (1/3) × 2π × 8 - Arc Length = (2/3) × π × 8 - Arc Length ≈ 16.755 cm.

2. Area of a Circle: - Area = π × 8^2 - Area = π × 64 - Area ≈ 201.062 cm^2.

Therefore, the arc length of the circle with a radius of 8 cm and a central angle of 120 degrees is approximately 16.755 cm, and the area of the circle is approximately 201.062 cm^2.

Please note that the values are approximate due to rounding.

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