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Furkat [3]
3 years ago
7

What is the approximate circumference of the circle shown below?

Mathematics
2 answers:
Crank3 years ago
8 0

Answer

Formula

Circumference\ of\ circle = 2\pi r

where r is the radius of a circle.

As shown in the image

Diameter of the circle = 16 .3 cm

Radius\ of\ the\ circle = \frac{16.3}{2}

                                   = 8.15 cm

Put in the formula

Circumference\ of\ circle = 2\pi\times 8.15

As

\pi = 3.14

Circumference\ of\ circle = 2\times 3.14\times 8.15

                                                 = 51.2 cm (approx)

Therefore the circumference of a circle is 51.2cm (approx) .

Option (D) is correct .

zzz [600]3 years ago
5 0

The circumference of the circle \boxed{51.2{\text{ cm}}}. Option (D) is correct.

Further explanation:

The formula for the circumference of the circle can be expressed as follows,

\boxed{{\text{Circumference of circle}} = 2\pi r}

The formula for the area of the circle can be expressed as follows,

\boxed{{\text{Area of circle}} = \pi {r^2}}

Here, “r” represents the radius of the circle.

The relationship between the radius and the diameter can be given by,

\boxed{r =\dfrac{d}{2}}

Here, “d” represents the diameter of the circle.

Given:

The options are as follows.

A.102.4{\text{ cm}}

B.63.4{\text{ cm}}

C.25.6{\text{ cm}}

D.51.2{\text{ cm}}

Explanation:

The diameter of the circle is 16.3{\text{ cm}}.

The radius of the circle can be obtained as follows,

\begin{aligned}{\text{Radius}}&= \frac{{16.3}}{2}\\&= 8.15\\\end{aligned}

The radius of the circle is 8.15{\text{ cm}}.

The circumference of the circle can be obtained as follows,

\begin{aligned}{\text{Circumference of circle}}&= 2\times\frac{{22}}{7}\times 8.15\\&=\frac{{44}}{7}\times 8.15\\&= 51.2\\\end{aligned}

The circumference of the circle \boxed{51.2{\text{ cm}}}.Option (D) is correct.

Option (A) is not correct as the circumference of the circleis  .

Option (B) is not correct as the circumference of the circle is  .

Option (C) is not correct as the circumference of the circle is  .

Option (D) is correct as the circumference of the circle is  .

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Circle

Keywords: Circle, circumference, radius, diameter, area of the circle, angle, sector, arc, approximate.

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The area of the composite figure is 40 in^2

Explanation:

From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.

Area of the rectangle (A_1):

The formula is given by

A_1=length\times width

where length = 5 and width = 5

Substituting, we have,

A_1=7\times 5=35 in^{2}

Thus, the area of the rectangle = 35 i n^{2}

Area of the triangle (A_2):

The formula is given by

A_2=\frac{1}{2} bh

where b=5-3=2 i n

and h=12-7=5 \text { in }

Substituting, we have,

A_2=\frac{1}{2} (2)(5)\\A_2=5 in ^{2}

Thus, the area of the triangle = 5in ^{2}

Area of the composite figure = Area of the rectangle + area of the triangle

Area of the composite figure = 35 i n^{2}+5 i n^{2}=40 i n^{2}

Thus, the area of the composite figure is 40 in^2

3 0
3 years ago
Which pair of slopes represent perpendicular lines?
Artist 52 [7]
The correct answer is C.

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What does the graph of 4 &lt; n + 6 &lt; 9 look like? A. open circles around –2 and 3 and the line shaded to the left of 3, infi
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2 years ago
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7 0
3 years ago
Can you help me find t value in this problem?
Eduardwww [97]

we have a maximum at t = 0, where the maximum is y = 30.

We have a minimum at t = -1 and t = 1, where the minimum is y = 20.

<h3>How to find the maximums and minimums?</h3>

These are given by the zeros of the first derivation.

In this case, the function is:

w(t) = 10t^4 - 20t^2 + 30.

The first derivation is:

w'(t) = 4*10t^3 - 2*20t

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The zeros are:

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We can rewrite this as:

0 = t*(40t^2 - 40)

So one zero is at t = 0, the other two are given by:

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±√1 = ±1 = t

So we have 3 roots:

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We can just evaluate the function in these 3 values to see which ones are maximums and minimums.

w(-1) = 10*(-1)^4 - 20*(-1)^2 + 30 = 10 - 20 + 30 = 20

w(0) = 10*0^4 - 20*0^2 + 30    = 30

w(1) =  10*(1)^4 - 20*(1)^2 + 30 =  20

So we have a maximum at x = 0, where the maximum is y = 30.

We have a minimum at x = -1 and x = 1, where the minimum is y = 20.

If you want to learn more about maximization, you can read:

brainly.com/question/19819849

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2 years ago
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