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The transportation department has to put a railing along the outer curve of this road. The road is 20 feet wide. What is the length of the outer curve to the nearest foot? Use the value

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akposevictor

Using the arc length formula, the length of the outer curve is approximately 85 feet.

How to Find the Length of an Arc?

Arc length = ∅/360 × 2πr.

Apply the arc length formula to find the length of the outer curve, given the following:

  • ∅ = 70°
  • π = 3.14
  • r = 50 + 20 = 70 feet

Plug in the values

Arc length = 70/360 × 2(3.14)(70)

Arc length = 70/360 × 2(3.14)(70) ≈ 85 feet.

The length of the outer curve is approximately 85 feet.

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