Calculate the circumference C and the length of the arc of a circle ℓ, if it is determined
| September 26, 2021 | education
Calculate the circumference C and the length of the arc of a circle ℓ, if it is determined by the central angle G = 90 °, and the radius of the circle is 6 cm.
The circumference is: C = 2nR, where R = 6 cm is the radius of the circle, n = 3.14.
C = 2 · 3.14 · 6 = 37.68 cm.
The length of the arc defined by the central angle G = 90 ° is equal to a quarter of the circumference.
Then l = C / 4 = 37.68 / 4 = 9.42 cm.
Answer: The length of an arc of a circle l = 9.42 cm.
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