# 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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