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6. An arc of a circle measures 70°. If the radius of the circle is 6cm,
about how long is the arc?
a. 7.33 cm b. 8.45 cm c. 3.80 cm d. 4.98 cm

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Sagot :

Answer:

a. 7.33 cm

Step-by-step explanation:

Arc length = θ/360° · 2πr

Given:

  • θ = 70°
  • r = 6

Substitute the value of θ and r.

Arc length = 70°/360° · 2π(6)

Arc length = 840°π/360°

Arc length = 7π/3

Arc length ≈ 7(22/7)/3

Arc length ≈ 22/3 ≈ 7.33 cm

Therefore the correct answer is a. 7.33 cm

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