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Nikolay [14]
4 years ago
13

Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati

ons).

Mathematics
2 answers:
Alik [6]4 years ago
5 0

Answer:

The area of the shaded region is 36π - 72 cm²

Step-by-step explanation:

Given

The radius of the circle segment, r = 12cm

The angle subtended at the centre of the circle is right angled, so

θ = 90°

Convert to radians

θ = 90π/180

θ = ½π

The shaded region is a segment;

To calculate the area of the segment, we make use of the following formula;

A = ½r²(πθ/180 - sinθ) in radians

By substituton,

A = ½ * 12² * (π/2 - sin90)

A = ½ * 144(π/2 - 1)

A = 72(π/2 - 1)

A = 36π - 72 cm²

Area of the shaded region is 36π - 72 cm²

Lera25 [3.4K]4 years ago
4 0

Answer:

  (36π -72) cm²

Step-by-step explanation:

The area of a segment that subtends arc α (in radians) is given by ...

  A = (1/2)r²·(α - sin(α))

Here, you have r = 12 cm and α = π/2 radians, so the area of the segment is ...

  A = (1/2)(12 cm)²·(π/2 -1) = (36π -72) cm²

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This the right order:

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Answer:

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Step-by-step explanation:

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7 0
3 years ago
Bed &amp; Bath, a retailing company, has two departments—Hardware and Linens. The company's most recent monthly contribution for
kykrilka [37]

Answer:

By eliminating Linens department net operating income fell by $574,800.00

Step-by-step explanation:

The question requires that the monthly contribution income statement be prepared when the Linens is closed or eliminated,incorporating the unavoidable fixed costs of $373,000 as well as the fall in sales of Hardware by 15%.

             Monthly Contribution Income Statement:

Sales($3,110,000)*(1-15%)                               $2,643,500.00  

Variable expenses($858,000)*(1-15%)          ($729,300.00)

Contribution margin                                        $1,914,200.00  

Fixed expenses($1,480,000+$373,000)      ($1,853,000.00)

Net operating income                                        $61,200.00  

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Lost contribution from Hardware(15%*$2,252,000)   $ 337,800.00  

Total lost contribution                                                   $1,011,800.00  

Less avoidable fixed costs($810,000-$373,000)         ($437,000.00)

Reduction in profits company-wide                                $574,800.00  

8 0
3 years ago
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Delicious77 [7]
There were...
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heres why.
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Hope i helped!!! :)
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6 0
3 years ago
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