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Elena-2011 [213]

Answer(s):

154 in²
3168/7 km²
38.5 m²

Revising the area of a circle formula

We already know that the area of a circle is expressed as $\pi r^{2}$ .

The "r" variable is known as the radius.

<h2><u>Solving each problem given:</u></h2><h3>Solving Problem 4:</h3>

We are given the radius of circle, which is 7 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

$\implies \pi (7)^{2}$

$\implies \huge\text{(}\dfrac{22}{7} \huge\text{)}(7)^{2}$ <em> </em>

$\implies \huge\text{(}\dfrac{22}{7} \huge\text{)}(7)(7)$

$\implies (22)(7)$

$\implies 154 \ \text{in}^{2}$

<h3>Solving Problem 5:</h3>

In this problem, we are given the diameter to be 24 kilometers. Since the radius of the circle is half the diameter, we can tell that the radius of the circle is 24/2 kilometers, which is 12 kilometers.

$\implies \pi (12)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)(12)$

$\implies \dfrac{3168}{7} \ \text{km}^{2}$

<h3>Solving Problem 6:</h3>

We are given the radius of circle, which is 3.5 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

$\implies \pi (3.5)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (3.5)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (3.5)(3.5)$

$\implies \huge\text{(}\dfrac{22}{2}\huge\text{)} (3.5) = (11) (3.5)$

$\implies 38.5 \ \text{m}^{2}$

Note: <em>The radius given in this problem was not clearly stated. If the radius I stated here, is incorrect, please notify me in the comments. Thanks!</em>

Learn more about area of circles: brainly.com/question/12414551

3 0

2 years ago

For the vectors Bold uequalsleft angle negative 8 comma 0 comma 1 right angleand Bold vequalsleft angle 1 comma 3 comma negative

trapecia [35]

Answer:

Step-by-step explanation:

Given that there are two vectors U = (-8,0,1)

V = (1,3,-3)

To find projection of u on V and also projection of V on U

First let us find the dot product U and V

U.V = $-8(1)+0(3)+1(-3)\\= -11$

Projection of U on V = $\frac{U.V}{|V|} \\=\frac{-11}{\sqrt{1+9+9} } \\=\frac{-11}{\sqrt{19} }$

Similarly projection of V on U

= $\frac{U.V}{|U|} \\=\frac{-11}{\sqrt{64+0+1} } \\=\frac{-11}{\sqrt{65} }$

4 0

3 years ago

What does an open dot on a number line signify?

zmey [24]

It doesn’t include the number it just stops there

7 0

3 years ago

PLEASE HELP ME PLEASE

SCORPION-xisa [38]

<h3>Step-by-step explanation:</h3><h3>(2/3)x - 2 = 7</h3>

(2/3)x = 7 + 2

(2/3)x = 9

2x = 9 × 3

x = 27/2

:. x = 13 1/2

7 0

3 years ago

Which angles are linear pairs? Check all that apply.

AlexFokin [52]

Linear pairs are when 2 lines intersect, and are adjacent angles.

The measure of a straight angle is 180 degrees, so a linear pair<span> of angles must add up to 180 degrees.
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I hope my answer helped!!!

6 0

3 years ago

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