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

nar6jetaime86

Answered question

2022-09-14

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?

Answer & Explanation

Aubrie Conley

Aubrie Conley

Beginner2022-09-15Added 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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