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bearhunter [10]
3 years ago
5

a circle with radius 3 has a sector with a central angle of 17/9 pi radians. what is the area of the sector?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0

Answer:

The area of the sector is 26.69

Step-by-step explanation:

First of all we need to calculate the area

To solve this problem we need to use the area formula of a circle:

a = area

r = radius =   3

π = 3.14

a = π * r²

we replace with the known values

a =  3.14 *  (3)²

a =  3.14 * 9

a = 28.26

The area of the circle is 28.26

A complete circle has 2pi radians

We divide 17/9 pi by 2pi and obtain the fraction of the total circle

(17pi/9) / 2pi = 17/18

we multiply this fraction with the area of the circle and obtain the area of the sector

28.26  * 17/18 = 12.43cm

The area of the sector is 26.69

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Please refer to the attachment​
MariettaO [177]

<u>W</u><u>e</u><u> </u><u>h</u><u>a</u><u>v</u><u>e</u><u>:</u><u>-</u>

  • P=₹26,400
  • R=15% p.a compounded yearly
  • n=2 years and 4 months

\tt \: So,amount \: for \: 2 \: years = p \large(1 +  \frac{r}{100}) {}^{n}

\tt=₹26,400 \large(1 +  \frac{15}{100}) {}^{2}

\tt=₹26,400 \:  \large( \frac{23}{20}) {}^{2}

\tt =₹26,400 \times  \frac{23}{20}  \times  \frac{23}{20} \\

\tt = 66 \times 529=₹34,914

\tt \: So,SI \: for \: 4 \: months =   \frac{P \times R \times n }{100 \times 12}

\tt \: =  \frac{ 34,914 \times 15 \times 4 }{100 \times 12} \\

\tt\boxed{ = 1745.70}

Thus,the amount after 2years and 4months =₹34,914+₹1745.70=₹36,659.70

\bold \red{I \: hope \: this \: may \: help \: you}

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