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d1i1m1o1n [39]
3 years ago
13

What is the area of a sector with a central angle of 2pi/9 radians and a diameter of 20.6mm? Use 3.14 for Ali and round your ans

wer to the nearest hundredth.

Mathematics
2 answers:
Oksanka [162]3 years ago
8 0

did you ever get the answer?

LuckyWell [14K]3 years ago
6 0
- The area of the circle is:

 A=πr²

 A is the area of the circle.
 π=3.14
 r is the radius of the circle.

 - To calculate the area of <span> the sector indicated in the problem, you must apply the following formula:

 As=(</span>θ/2π)πr²

 As is the area of the sector.
 θ is the central angle (θ=2π/9)
 π=3.14
 r is the radius.

 - First, you must find the radius:

 r=Diameter/2
 r=20.6 mm/2
 r=10.3 mm

 - Now, you can substitute the values into the formula As=(θ/2π)πr². Then, you have:

 As=(θ/2π)πr²
 As=(2π/9/2π)(π)(10.3)²
 As=(π/9π)(π)(10.3)²
 As=(3.14/9x3.14)(3.14)(10.3)²

 - Finally, the area of the sector is:

 As= 37.01 mm²
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Answer:

$291,016.80

A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

Loan Formula:

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Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}

EMI=605.11

Total payment for case 1: 605.11 x 360 = $217,839.60

Case 2:

Loan amount, P = 20% of 145000 = $ 29,000

Rate of interest, r = 4.75% = 0.07525

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}

EMI=203.27

Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

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Step-by-step explanation:

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