Calculate the length of an arc of a circle with a radius of 4 cm if its degree measure is 120^(circ). What is the area of the circular sector corresponding to the given arc?

nar6jetaime86 2022-09-14 Answered
Calculate the length of an arc of a circle with a radius of 4 cm if its degree measure is 120 . What is the area of the circular sector corresponding to the given arc?
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Answers (1)

Aubrie Conley
Answered 2022-09-15 Author has 13 answers
1) The length of the arc of a circle is calculated by the formula L = π R a / 180, where a is the degree measure of the arc of a circle, then L = π 4 120 / 180 = 8 π / 3 ( c m ).
2) The area of the circular sector is
S = π R 2 a / 360 = π 4 2 120 / 360 = 16 π / 3 ( c m 2 ).

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