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Advocard [28]
3 years ago
10

A circular mirror has a diameter of 12 inches. What is the are of the mirror in Square inches

Mathematics
1 answer:
Valentin [98]3 years ago
6 0

Answer:

113.14 square inches

Step-by-step explanation:

Area of circle is given by \pi r^{2} where r is the radius. The radius is usually half the diameter hence for this case the radius will be 0.5*12=6 inches.

Taking \pi as \frac {22}{7} then the area will be\frac {22\times 6^{2}}{7}=113.14285714285714285714285714285714285714\ in^{2}\approx 113.14 in^{2}

Therefore, rounded off to 2 decimal places the area is approximately 113.14 square inches

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3 years ago
Use Green's Theorem to calculate the circulation of G around the curve, oriented counterclockwise. G = 7yi + xyj around the circ
aleksley [76]

The circle's perimeter is determined by F = -9π, according to green's theorem.

<h3>What is Green's theorem?</h3>

The simple formula for Green's theorem is the link between the total amount of microscopic circulation inside curve C and the macroscopic circulation revolving around it.

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\begin{aligned}& \int 4 y d x+2 x y d y=\iint(d / d x)(2 x y)-(d / d y)(4 y) d A \\& =\iint 2 y-4 d A\end{aligned}

You must convert in this manner to polar coordinates, and the result will be:

\begin{aligned}& \int_0^3 \int_0^{2 \pi}(2 r \sin (\theta)-4)(r) d \theta d r \\& =\int_0^3(-2 r \cos (\theta)-4 \theta)(-2 r \pi) d r \\& =-(\pi)\left(r^2\right)=-9 \pi\end{aligned}

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Know more about Green's theorem here:

brainly.com/question/23265902

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Correct question;
Suppose F⃗ (x,y)=4yi⃗ +2xyj⃗ . Use Green's Theorem to calculate the circulation of F⃗ around the perimeter of a circle C of radius 3 centered at the origin and oriented counter-clockwise.

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1 year ago
What is 0.6, 0.5, 0.41, 0.16 as a fraction in simplest form?
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0.5 converted to fraction would be 1/2 and in decimal form 0.5 (Just do the same exact way as above up top)

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