For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees
Answer:
$1547.62
Step-by-step explanation:
The principal Marshall invested is $4500.
The rate of interest is 6%
The compound interest formula is
We substitute P=4500,r=0.06 and t=5 to obtain:
We simplify to get:
This gives us:
The interest after 5 years is
The formula that represents l in terms of f and w is l = (f-5w)/2
<h3>Subject of formula </h3>
This is way of representing a variable with other variables in an expression, Given the expression that represent the amount of fence a farmer needs to create a garden with width w and length
f = 5w + 2l
Make l the subject of the formula
2l = f - 5w
Divide both sides by 2
2l/2 = (f-5w)/2
l = (f-5w)/2
Hence the formula that represents l in terms of f and w is l = (f-5w)/2
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