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garik1379 [7]
3 years ago
15

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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3 years ago
Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each
emmasim [6.3K]

<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

Jake wants to increase the area by 50%, so the new area would be:

A'=168(1.5) \\ \\ A'=252ft^2

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

6 0
3 years ago
How many degrees is the angle below?
umka2103 [35]

Answer:

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Step-by-step explanation:

the line (not at the 0) is what you measure from. Because the angle is visibly acute, we know that it must be less than 90 degrees, therefore the angle cannot be 150 degrees but 30 degrees (from the lower line)

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