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3 years ago

Henry knows that the circumference of a circle is 18 pie inches. What is the area of the circle?

Mathematics

2 answers:

Aneli [31]3 years ago

6 0

Answer:

254.34

Step-by-step explanation:

This is because A=C2

4π which is 18x18 divided 4x 3.14 which equals 254.34

Arada [10]3 years ago

4 0

Answer: 25.5 (using the whole value of )

Explanation: The formula for the area of a circle is: xradius^2. So all you have to do is find the radius. To do that, you have to find the diameter. The formula for calculating the circumference of a circle with the diameter, is: xdiameter. So now, you do the opposite of that: circumference ÷ . That gives you: 5.7, which is the diameter. To find the radius with the diameter, you just divide the diameter by 2. And 5.7 ÷ 2=2.85. Now that you know the radius, you can find the area: x2.85^2=25.5 inches.

꧁Hᴏᴘᴇ ᴛʜɪs ʜᴇʟᴘs!꧂

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<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

$A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2$

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He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

$(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives$

Finally:

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly

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