Question

Знайдіть радіус кола в якого кутова величина дуги завдовжки п см дорівнює 45°​

Answer 1

Ответ:радиус равна 4

Формула : l (ab) =альфа умножена на радиус

Отсюда радиус равна дуга АБ делённая на альфу

Answer 2

Finding the Radius of a Circle Given the Arc Length

To find the radius of a circle when the arc length is given, you can use the formula:

radius = (arc length * 180) / (π * angle)

Where: - arc length is the length of the arc in centimeters (given as *p* in this case) - angle is the central angle in degrees (given as *45°* in this case) - π is a mathematical constant approximately equal to 3.14159

Applying the Formula

Using the given values, we can calculate the radius of the circle:

radius = (p * 180) / (π * 45)

Substituting the given arc length (*p = 14.4 cm*) and angle (*45°*) into the formula:

radius = (14.4 * 180) / (π * 45)

Calculating the Radius

Let's calculate the value of the radius using the given formula:

radius ≈ (14.4 * 180) / (3.14159 * 45) ≈ 25.6 cm

So, the radius of the circle is approximately 25.6 centimeters.