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FromTheMoon [43]
3 years ago
5

If the circumference of a circle measures 12π cm, what is the area of the circle in terms of π?

Mathematics
1 answer:
frez [133]3 years ago
5 0
So the formula for the circumference of a circle is π x diameter
Since we know the the circumference already, we just divide that by π:

12π / π = 12

Now we halve the diameter to get the radius:
12 / 2 = 6 

The area of a circle is π x radius²
So the area is:

·π x 6² = 36π·  (or 113 not in terms of π) 
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4^5 5^3 6^2<br> 4^4 5^2 6
Nezavi [6.7K]

4^5 = 1024

5^3 = 125

6^2 = 36

4^4 = 256

5^2 = 25

3 0
2 years ago
Is it possible to draw a triangle with these measurements 90, 60, 60
Hoochie [10]

Answer:

it is possible to draw a triangle with angles 90 degree, 60degree and again 60 degree

8 0
2 years ago
This is my next Trigonometry question I am needed help on- I just want to be sure I've got it right, or if not, then the steps I
makkiz [27]
\bf \textit{simmetry identities}\\\\&#10;sin(-\theta)=-sin(\theta)\\\\&#10;-------------------------------\\\\&#10;sin(-\theta)=\cfrac{1}{5}\implies -sin(\theta)=\cfrac{1}{5}\implies sin(\theta)=\cfrac{-1}{5}\cfrac{\leftarrow opposite=b}{\leftarrow hypotenuse=c}&#10;\\\\\\&#10;c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\implies \pm\sqrt{5^2-(-1)^2}=a&#10;\\\\\\&#10;\pm\sqrt{24}=a\implies \pm2\sqrt{6}=a

so. hmm which is it? the +/- ?   well, neverminding for a second, the value of tangent, just looking at the sign, the tangent is positive,

tangent = opposite/adjacent.... so that only happens, when both are the same sign, + or - both

now, we know the sine is -1/5.. if the sine is negative, the cosine also has t to be negative, so we'd use the -2√(6) = a

thus     \bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\implies cos(\theta)=\cfrac{-2\sqrt{6}}{5}
4 0
3 years ago
Given that DA is a diameter of circle B, angle CBA is a right angle, and mAF=65 degrees, find mDE
yulyashka [42]
A. 29
b. 36
c. 49
d. 61 

...
the answer's a. 29.
4 0
3 years ago
An architect is designing a house on an empty plot. The area of the plot can be modeled by the polynomial 5x4+9x2−4x, and the ar
Vaselesa [24]

Answer:

The area of the yard is;

5x^4 -2x^3+9x^2+50

Step-by-step explanation:

Here, we want to calculate the area of the yard

Mathematically, this can be calculated as the difference between the area of the plot and the base area of the house

So, we simply proceed to calculate a subtraction here;

Thus, we have this as;

5x^4 + 9x^2-4x -(2x^3-4x-50)

= 5x^4 + 9x^2-2x^3+ 50

Rearranging this, we have;

5x^4 -2x^3+9x^2+50

6 0
3 years ago
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