The area of a circle can be tripled by multiplying the radius by what factor?

The area of a circle can be tripled by multiplying the radius by what factor?

2 months ago

Solution 1

Guest Guest #3905
2 months ago
A whole circle =  to 360 so you have to think of the radius to a factor for multiplying

Solution 2

Guest Guest #3906
2 months ago
By 1.73.

 Because the formula for the area of a circle is  \pi ×r².

So let us say the radius for circle A is 1. so area is equal to.  \pi ×2²
which is equal to 12.56

Now you need to triple the area, so if i am in the right path you would multiply area of circle A 3 times leaving you with 37.699

Now, we make use of the equation solving skills.

The way to find the radius is.

A=  \pi  ×r²


√(A÷ \pi  )

So puting and solving the equations the factor of multiplication gives us 1.73 


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A rectangle has a length of (3.2a + 0.18b)centimeters.The width is half the length. Sasha writes the expression (12.8a + 0.72b) to represent the perimeter of the rectangle in centimeters. Is Sasha’s reasoning correct? Explain.
Solution 1
The width is half the length, so is
  width = (1/2)*length
  width = (1/2)*(3.2a + 0.18b) cm
  width = (1.6a +0.09b) cm

The perimeter of the rectangle is twice the sum of length and width.
  perimeter = 2*(length + width)
  perimeter = 2*((3.2a +0.18b) cm + (1.6a +0.09b) cm)
  perimeter = 2*(4.8a +0.27b) cm)
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A banquet has charges $750 to feed a large party. Each person must also pay $3.50 for a tip. If divided equally, how many people would need to participate for the cost to be $15 per person
Solution 1
Let the number of people be x.

Total tips = 3.5x
Total cost = 750
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15x = 750 + 3.5x 
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Answer: 66 people should participate.

Karen has 3 pieces of ribbon that are each 2 3/4 yd long. She also has a piece of lace that is 3 1/5 yd long. Karen needs to cut the lace into 4 pieces that are all the same length to finish a sewing project. How long should each piece of lace be? A. 1 4/5 yd B. 1 1/4 yd C. 11/12 yd D. 4/5 yd
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The first sentence is filler information that can be ignored, as the question involves lace, not ribbon.

Convert the mixed fraction into an improper fraction.

3 \frac{1}{5}

3 * 5 = 15

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The fraction is now  \frac{16}{5} .

Divide the fraction by 4, as you want to get 4 equally long pieces.

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You get  \frac{16}{20} , which can be simplified to  \frac{4}{5}

The answer is D.

Solution 2
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You need to change it to meters that is 1*1000, so you need to have the measured distance divided by 1000 after you measure a kilometer by ruler.
8, 15, 14, 9, 1, 6, 3 What number would come next in the sequence above, 4, 7, 10, or 12? Explain your answer.
Solution 1

The next number in the sequence will be 12.


The given sequence is:   8, 15, 14, 9, 1, 6, 3

If we express these numbers in words, then we can see that the words are in alphabetical order, like....

Eight,  Fifteen,  Fourteen,  Nine,  One,  Six,  Three

There are two numbers 10 and 12 in the options which starts with letter 'T' , but  alphabetically 'Twelve' will be the next number after 'Three'

So, the next number in the sequence will be 12.

Find the product to (x+2)(x+1) to fulfil my pleasure
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Use foil, (first outside, inside, last) and simplify to get: x^2+3x+2
Tyra is training for a bicycle race. Each week she rides a total distance greater than 10 kilometers and less than or equal to 30 kilometers. If the distance is always an even number and a multiple of 3, what are the possible distances Tyra rides in one week?
Solution 1
12 km,18 km,24 km,30 km only this are possible.

(i think)
there are 54 people at the party. 18 of them are wearing red, what percent of them are not wearing red
Solution 1

There are 54 people at the party.

18 people are wearing red which means that 36 people are not wearing red

54 - 18 = 36

The fraction \frac{36}{54} represents the 36 people at the party that are wearing no red. We can find what percent of the people at the party are not wearing red by turning \frac{36}{54} into a percent.

\frac{36}{54} can be reduced to \frac{2}{3}  by dividing both the numerator and denominator by the greatest common factor of 36 and 54.

2 ÷ 3 = 0.667

0.667 × 100 = 66.67%

Therefore, 66.67% of the people at the party are not wearing red

Solution 2
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54-18 = 36 not wearing red

36 out of 54 = 36/54

36/54 = 0.6666

0.6666 * 100 = 66.67%

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Solution 1
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Solution 1
To find the ratio decimal form, write each ratio as it's corresponding fraction, then divide. Simplify fractions, if possible.

2:3= 2/3= 0.6666666= 0.67 rounded

3:7= 3/7= 0.42857= 0.43 rounded

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2:5= 2/5= 0.4

3:7= 3/7= 0.42857= 0.43 rounded

2:4= 2/4= 1/2= 0.5

Hope this helps! :)