What percent of 19.5 is 70.59?
2 answers:
What always helps me with these type of questions is the formula:
Part Percent
----------- = ---------------
Whole 100
This may seem a little complicated but I'll explain,
70.59 is the full or complete (whole) number
19.5 is (part) of 70.59
And the percent is the unknown part of this so it will stay as a variable. Let's say x
So it comes out to be:
Now that it is set up, you simply multiply diagonally or cross cancel
It should turn out to look like this once you solved it:
70.59x=1950
Then divide 1950 by 70.59
you will then get, x= <span>27.6243093923 or just 27% or 27.6%</span>
Part Percent
----------- = ---------------
Whole 100
This may seem a little complicated but I'll explain,
70.59 is the full or complete (whole) number
19.5 is (part) of 70.59
And the percent is the unknown part of this so it will stay as a variable. Let's say x
So it comes out to be:
Now that it is set up, you simply multiply diagonally or cross cancel
It should turn out to look like this once you solved it:
70.59x=1950
Then divide 1950 by 70.59
you will then get, x= <span>27.6243093923 or just 27% or 27.6%</span>
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ANSWER
EXPLANATION
Let R be the radius of the bigger circle and r, be the radius of the smaller circle.
Then their ratio is given as,
We can rewrite it as fractions to get,
We make R the subject to get,
The area of the bigger circle can be found using the formula,
This implies that,
But it was given in the question that, the area of the bigger circle is 27π.
We divide through by 9π to get,
This means that,
The area of the smaller circle is therefore
EXPLANATION
Let R be the radius of the bigger circle and r, be the radius of the smaller circle.
Then their ratio is given as,
We can rewrite it as fractions to get,
We make R the subject to get,
The area of the bigger circle can be found using the formula,
This implies that,
But it was given in the question that, the area of the bigger circle is 27π.
We divide through by 9π to get,
This means that,
The area of the smaller circle is therefore
The answer is going to be 2*sqrt(5). You have to split it into perfect squares for it to be simplified... so in this case, I had sqrt(4*5) because sqrt(4) can be simplified... so your answer would be sqrt(4)*sqrt(5) or 2sqrt(5)
