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3 years ago

15

Find the area of a circle with a circumference of 6 pi

2 answers:

N76 [4]3 years ago

7 0

To find the circumference of a circle you use the formula C=pi*(radius*radius). If you know that the cuircumference is 6 pi, you first plug that in to solve for the radius.
6pi=pi*(r*r)
6pi/pi=(r*r)
Square root of(6pi/pi)=r
2.45=r
Then to find the area you use the formula A=pi*(r*r) which is
A=Pi*(2.45*2.45)
A=6pi or 18.85

elena-14-01-66 [18.8K]3 years ago

3 0

The circumference formula is 2 $\pi$ r and if the circumference is 6pi then the radius is 3. apply that to the area fromula ( $\pi$ r^2 ) and you get 9 $\pi$

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Answer:

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Step-by-step explanation:

we are given that

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remember that,

In <u>unit</u><u> </u><u>circle</u> x coordinate is considered cos and y coordinate is considered sin

so in order to figure out x we should figure out the value of <u>cos</u> to do we can consider <u>Pythagoras</u><u> trig</u><u> </u><u>indentity</u>

given by

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we are given sin=-√7/4 thus

substitute:

$\displaystyle \left( - \frac{ \sqrt{7} }{4} \right) ^{2} + { \cos}^{2} ( \theta) = 1$

simplify square:

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move left hand side expression to right hand side and change its sign:

$\displaystyle \cos ^{2} ( \theta) = 1 - \frac{7}{16}$

simplify Substraction:

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since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable

hence,

$\displaystyle x = \frac{3}{4}$

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