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taurus [48]
2 years ago
7

Find the area of a circle with radius, r =

Mathematics
2 answers:
Leokris [45]2 years ago
6 0

To calculate the radius of this circle, we must take into account that:

Data:

  • R = 7.4
  • π = 3.14

To calculate the area of the circle, we apply the following formula:

  • A = π * r², where

a = area

π = pi

r = radius

Substituting the values of the equation:

  • \large\displaystyle\text{$\begin{gathered}\sf A=3.14*(7.4 \ m)^{2}  \end{gathered}$}

Taking the square root

  • \large\displaystyle\text{$\begin{gathered}\sf A=3.14*54.76 \ m^{2}  \end{gathered}$}

Multiplying

  • \boxed{\large\displaystyle\text{$\begin{gathered}\sf A=171.95 \ m^{2}  \end{gathered}$}}

Answer: The approximate area of the circle is 171.95 m².

Katyanochek1 [597]2 years ago
4 0

Answer:

172.03 m²

Step-by-step explanation:

Hello!

Area of a circle: A = \pi r^2

  • A = area
  • π = pi
  • r = radius

Plug in the radius into the formula to find the area.

<h3>Find the Area</h3>
  • A = \pi r^2
  • A = \pi (7.4)^2
  • A = 54.76\pi
  • A = 172.0336137106 \approx 172.03

The area is approximately 172.03 m².

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Alex is building a rectangle fence around his yard. the total perimeter of the fence is 68 feet and the area of his yard is 240
Alisiya [41]

Let's call the length of the rectangular fence l and the width of the rectangular fence w.


Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:

A = lw

P = 2l + 2w


Now, let's substitute in the values we are given in the problem:

240 = lw

68 = 2l + 2w


Now, let's solve the system using substitution.

240 = lw \Rightarrow \dfrac{240}{w} = l

  • Solve for l from the first equation

68 = 2\Bigg( \dfrac{240}{w} \Bigg) + 2w

  • Substitute this value into the second equation

68 = \dfrac{480}{w} + 2w

  • Simplify

68w = 480 + 2w^2

  • Multiply both sides of the equation by w

2w^2 - 68w + 480 = 0

  • Subtract 68w from both sides of the equation

(2w - 48)(w - 10) = 0

  • Factor

2w - 48 = 0 and w - 10 = 0

  • Use the Zero Product Property and solve both factors

2w - 48 = 0 \Rightarrow 2w = 48 \Rightarrow w = 24

w - 10 = 0 \Rightarrow w = 10


We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:

w = 24 \Rightarrow 240 = l(24) \Rightarrow l = 10

w = 10 \Rightarrow 240 = l(10) \Rightarrow l = 24


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3 years ago
Please help solve ASAP (40 points)
Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

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Un industrial obtiene un préstamo de $ 15.000, al 23% anual por el lapso de 5 años. Calcular el monto a la finalización de este
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Answer:

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Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

Loan amount (P) = $15,000

Rate of interest (r) = 23%

Time (t) = 5 years

Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,

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by putting the value in formula, we get

= $15,000 (  (1 + ( 0.23/5))^{5}

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Nat2105 [25]

Answer:

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Step-by-step explanation:

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