Question

Знайдіть градусну міру дуги кола, радіус якого дорівнює 12 см, а довжина дуги 2п см.​

Answer 1

Ответ:

Объяснение:

2п=а*12

а=2п/12=6

Answer 2

Ответ:

15°

Объяснение:

По формуле длины окружности 2п умножить на радиус , делить на 360 , умножить на Альфа и равно по условию пи . Решив уравнения получим 15 градусов

Answer 3

Finding the Degree Measure of an Arc

To find the degree measure of an arc, we can use the formula:

Degree Measure = (Arc Length / Circumference) * 360 degrees

In this case, we are given that the radius of the circle is 12 cm and the length of the arc is 2π cm.

Let's calculate the degree measure of the arc step by step:

1. Calculate the circumference of the circle using the formula:

Circumference = 2π * Radius

Substituting the given radius value:

Circumference = 2π * 12 cm

Simplifying the expression:

Circumference = 24π cm 2. Substitute the values into the degree measure formula:

Degree Measure = (2π cm / 24π cm) * 360 degrees

Simplifying the expression:

Degree Measure = (1/12) * 360 degrees

Degree Measure = 30 degrees

Therefore, the degree measure of the arc is 30 degrees.