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What is the length of an arc of a circle with a radius of 5 if it subtends an an...


Question

What is the length of an arc of a circle with a radius of 5 if it subtends an angle of 60° at the center?

Options

A) 3.14

B) 5.24

C) 10.48

D) 2.62

E) 4.85

The correct answer is B.

Explanation:

Length of an arc formula
L = Circumference \(\times\) fraction of circle
L = \( 2\pi R \times \frac{\theta}{360} \)
L = \(2 \times \frac{22}{7} \times 5 \times \frac{60}{360}\)
L = 5.238

Explanation provided by Holarmilekan Amin


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Dicussion (1)

  • Length of an arc formula
    L = Circumference \(\times\) fraction of circle
    L = \( 2\pi R \times \frac{\theta}{360} \)
    L = \(2 \times \frac{22}{7} \times 5 \times \frac{60}{360}\)
    L = 5.238