Mathematics
7 Online
OpenStudy (anonymous):
if the radius of the circle is increased by 10% then the area is increased by?
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OpenStudy (anonymous):
The relation between Area and radius is A= pie r^2
OpenStudy (mrnood):
Original area = pi r^2
New area = pi (r *1.1)^2 = pi r^2 *1.1^2
so divide the new by th eold to find the increase in area
OpenStudy (anonymous):
why its 1.1?
OpenStudy (anonymous):
the answer must be
2.1%
21%
121%
none of these
OpenStudy (anonymous):
Why it is 1.1 instead of 0.1 @MrNood ? I think it should be 0.1.
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OpenStudy (anonymous):
exactly it should be 0.1
OpenStudy (anonymous):
@AnswerMyQuestions
OpenStudy (anonymous):
Not so sure about this.
OpenStudy (perl):
the above post is correct
OpenStudy (anonymous):
how?
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OpenStudy (anonymous):
The new radius is equal to the old radius + .1(of the old radius) so
New Radius= r + .1r= 1.1 r
OpenStudy (perl):
(pi * (1.1*r)^2 ) / ( pi * r^2)
OpenStudy (anonymous):
ok whats the answer then?
OpenStudy (anonymous):
1.1^2 = 1.21
OpenStudy (anonymous):
New Radius= r + .1r= 1.1 r didnt get this step
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OpenStudy (perl):
r + 10% * r
OpenStudy (anonymous):
why we plus r
OpenStudy (perl):
since you want to increase r
OpenStudy (anonymous):
ok
OpenStudy (perl):
if i have a 100 dollars, and i want to increase by 10%
100 + 10% * 100
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OpenStudy (anonymous):
If you have 30 dollars and I give you 10 % 0f 30 =.1 (30)=3 dollars , the you will have 30+3=33= 1.1 (30)
OpenStudy (perl):
so in general, the formula is
initial amount + (percentage increase) * initial amount
OpenStudy (anonymous):
ok
OpenStudy (perl):
so here we have r + 10%*r , or r + .10 * r
OpenStudy (anonymous):
yeh the answer is 121%?
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OpenStudy (anonymous):
@perl
OpenStudy (perl):
yes, the area is increased by 121 %
OpenStudy (perl):
alternatively, by a factor of 1.21
OpenStudy (anonymous):
Thanks @perl for the logic :)
OpenStudy (perl):
your welcome
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OpenStudy (anonymous):
ty:)
OpenStudy (perl):
eliasaab also deserves credit
OpenStudy (anonymous):
yeh thanks @eliassaab
OpenStudy (perl):
@eliassaab good explanation
OpenStudy (anonymous):
Thanks @eliassaab :)