The length of the arc, which is 0.4 of a circle, is 37.68 cm. Find the diameter of the circle.
| May 20, 2021 | education
We calculate what the length of a given circle corresponds to, if we know, based on the conditions of this task, that the length of the arc, which is 0.4 of the circumference, is equal to 37.68 centimeters:
37.68: 0.4 = 94.2.
We calculate how many centimeters the value of the diameter of a given circle corresponds, for which we use the well-known formula for calculating the circumference of a circle – L = πD (taking the mathematical constant π equal to 3.14):
94.2: 3.14 = 30.
Answer: The value of the diameter of the circle is 30 cm.
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