Question

Hello i need help with question 5 asap!!

Answer 1

Answer:

  arc DB length = 14π feet

Step-by-step explanation:

Assuming point A is the center of the circle, arc DC has measure 180°. Arc DB has measure 40° less, so is 140°. Since you want this in terms of π, we need to convert the degree measure to radians. We do that by multiplying by (π/180) radians per degree:

  arc DB = 140° = 140°(π/180°) radians

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Now that we know the arc measure in radians, we can find the length of the arc. It is given by the formula ...

  s = rθ

where r represents the radius and θ is the measure of the arc in radians.

The arc length is ...

  s = (18 ft)(7π/9) = 14π ft

Arc DB has a length of 14π feet.