One circle has a diameter of 6 inches. A second, larger circle has a diameter that is four times the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?

Answers

Answer 1

Answer: The area of a circle:
$A=\pi r^2$
r - the radius, which is equal to half the diameter d

The first circle:
$d_1=6 \nr_1=(6)/(2) = 3 \nA_1=\pi * 3^2=9\pi$

The second circle:
the second circle has a diameter that is four times the diameter of the first circle.
$d_2=6 * 4=24 \nr_2=(24)/(2)=12 \nA_2=\pi * 12^2 = 144\pi$

The ratio of the area of the smaller cirlce to the area of the larger circle:
$(A_1)/(A_2)=(9 \pi)/(144 \pi)=(9)/(144)=(9 / 9)/(144 / 9)=(1)/(16)$

The ratio is 1:16.

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How do you find the volume of a cylinder?? Step by step by step

Answers

1). Recall the formula for the volume of a cylinder:

Volume = (pi) x (radius of the round end)² x (length or height) .

2). Gather together the number you'll use for pi, the radius of the
cylinder's round end, and its length or height. Make sure that the
radius of the round end and the length or height are in the same units.
If they're not, then convert something so that they are.

3). Write each number into its place in the formula.

4). Perform the indicated operations. The final number is the
volume of your cylinder.

the formula is $\pi r^2h$ r= radius
h= height
you square the radius and then multiply by the $\pi$ and then the height

-7v - 5= -7 +2(-3v-3)

Answers

Answer:

v=8

Step-by-step explanation:

-7v-5=-7+2(-3v-3)
Distribute the 2 to -3v and -3
-7v-5=-7-6v-6
Combine Like Terms
-7v-5=-13-6v
Add -6v to -7v
v-5=-13 or 1v-5=-13
Add 5 to both sides
Answer= v=-8

If x² equals 1/100 what does x equal