How do you solve this to get to the 2^12?

Find the area of circle having 176cm circumference.With step by step explanation.plz

Olin [163]

Answer:

$\huge\boxed{A=784\pi\ cm^2\approx2464\ cm^2}$

Step-by-step explanation:

The formula of a circumference of a circle:

$C=2\pi r$

r - radius

The formula of an area of a circle:

$A=\pi r^2$

r - radius

We have C = 176cm. Substitute to the formula and calculate the radius r:

$2\pi r=176\qquad|\text{divide both sides by}\ 2\pi\\\\r=\dfrac{176}{2\pi}\\\\r=\dfrac{88}{\pi}\qquad|\text{use}\ \pi\approx\dfrac{22}{7}\\\\r=\dfrac{88}{\frac{22}{7}}\\\\r=88\cdot\dfrac{7}{22}\\\\r=4\cdot7\\\\\boxed{r=28(cm)}$

Calculate the area:

$A=\pi\cdot28^2=784\pi\approx784\cdot\dfrac{22}{7}=112\cdot22=2464(cm^2)$

According to the moderator, I should take $\pi\approx3.14$ . You can do it like that. In my opinion, my solution is correct.

6 0

3 years ago

If you draw three cards from a regular deck of 52 cards, what are the chances they are all hearts?

GREYUIT [131]

In a deck of 52 cards, 13 are hearts. Assuming you do not put the cards back in after drawing them, the first card's chance of being hearts would be 13/52, or 1/4. Since on heart card is gone from the deck, the next card's chances of being hearts are 12/51, or 4/17. Now that two hearts are gone from the deck, the third card's chances of being hearts is 11/50. Finally, we have to multiply all three fractions. 1/4 x 4/17 x 11/50 = 44/340, or 11/85. Therefore, our answer is 11/85.

Hope this helps!

6 0

3 years ago

Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. Did they run at the

Goshia [24]

Answer:

speed of Jada = 6km per hour which is not equal to

speed of Andre = 8km per hour

They did not run at same speed

Step-by-step explanation:

formula of speed = distance covered/ time taken

For Andre

Distance = 2 KM

time = 15 mins

60 mins = 1 hour

15 mins = 1/60 * 15 hour = 0.25 hours

thus,

speed = 2km/0.25 hour = 8 km per hour

Similarly for Jada

Distance = 3 KM

time = 20 mins

60 mins = 1 hour

20 mins = 1/60 * 20 hour = 1/3 hours

thus,

speed = 2km/(1/3)hour = 6 km per hour

Now we have

speed of Jada = 6km per hour which is not equal to

speed of Andre = 8km per hour

6 0

3 years ago

how many even numbers less than 1000 can be formed from the given digits 0,2,3,5; if repetition is not allowed ?

Lunna [17]

Answer: 2 numbers

Step-by-step explanation:

Since we are looking for even numbers, 0 and 2 must be the last number.

So if we have 0 at the end, there are 6 possibilities:

2350, 2530, 3250, 3520, 5230, 5320. None of these are less than 1000.

But, if we have 2 at the end, then we have 6 possibilities again:

0352, 0532, 3052, 3502, 5032, 5302. Only two of these are less than 1000.

So the only possibilities are 0350 and 0530, and so there are 2 possibilities.

8 0

2 years ago

The quadrilateral has the following side lengths: AB = 11, BC =7, CD = 9 and DA = 3. The angles at points A and C are right angl

Sergio039 [100]

Answer:

C

Step-by-step explanation:

We can calculate the area of triangles ABD and DBC, and then add them together to get the area of the whole quadrilateral.

$A = \frac{11 \times 3 + 7 \times 9}{2} = \frac{33 + 63}{2} = \frac{96}{2} = 48$

8 0

3 years ago