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.
<span>1.14×10^3 = 1.14 x 1,000 = 1, 140
answer
</span><span>1,140</span>
Answer:
<u>The storage unit is 20 feet long.</u>
Step-by-step explanation:
1. Let's use the Pythagorean Theorem to find the unknown side or length of the storage unit:
With the information given, we have a right triangle with 52 feet of hypotenuse and 48 feet as one of its sides and width of the storage unit.
Length of the storage unit ² = Hypotenuse ² - Width of the storage unit ²
Replacing with the real values:
Length of the storage unit ² = 52² - 48²
Length of the storage unit ² = 2,704 - 2,304
Length of the storage unit ² = 400
√Length of the storage unit ² = √400
<u>Length of the storage unit = 20 feet</u>
