The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
<h3>What is the area of the circle?</h3>
The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,
![A=\pi\dfrac{d^2}{4}](https://tex.z-dn.net/?f=A%3D%5Cpi%5Cdfrac%7Bd%5E2%7D%7B4%7D)
Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.
![d=6](https://tex.z-dn.net/?f=d%3D6)
Put this value in the above formula to find the area of the circle as,
![A=\pi\dfrac{6^2}{4}\\A=\pi\dfrac{36}{4}\\A=\pi\times9\\A=9\pi\rm\; cm](https://tex.z-dn.net/?f=A%3D%5Cpi%5Cdfrac%7B6%5E2%7D%7B4%7D%5C%5CA%3D%5Cpi%5Cdfrac%7B36%7D%7B4%7D%5C%5CA%3D%5Cpi%5Ctimes9%5C%5CA%3D9%5Cpi%5Crm%5C%3B%20cm)
Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
Learn more about the area of the circle here;
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Answer:
x=-2
Step-by-step explanation:
3x+3*2x=-18
3x+6x=-18
9x=-18
x=-2
Answer:
(c) Triangle Z Y X is similar to triangle C B A
Step-by-step explanation:
Triangles are similar when corresponding sides have the same ratio. Corresponding sides will have corresponding end point vertices. The similarity statement lists corresponding vertices in the same order.
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<h3>corresponding sides</h3>
The side lengths, smallest to largest, for the two triangles are ...
- 3 cm -- ZY
- 6 cm -- YX
- 7 cm -- XZ
And for the other triangle, ...
- 6 cm -- BC
- 12 cm -- AB
- 14 cm -- AC
<h3>corresponding vertices</h3>
The points joining the each side to the next one longer, in order for the two triangles, are ...
Y, X, Z and B, A, C
The vertices corresponding to ZYX in the same order are CBA.
triangle ZYX is similar to triangle CBA
Answer:
(2,-1)
Step-by-step explanation:
Reflecting over the x-axis means the y values become negative