hba
  • hba
If the radius of a circle is increased by 10 % then the area is increased by,
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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tkhunny
  • tkhunny
\(\pi r^2\) \(\pi (r*1.1)^{2} = 1.21\cdot\pi r^{2}\) What do you think?
hba
  • hba
@hartnn Yeah lol ? It is a circle but it is a very diff ques..
hba
  • hba
@tkhunny You are welcome to provide hints and explain

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tkhunny
  • tkhunny
Already did. Radius increased by 10% -- r*1.1 Area is increased by ???
hba
  • hba
Please explain how did you do the first step
tkhunny
  • tkhunny
Area of a Circle = \(\pi r^{2}\), given the radius. That's the first step.
hba
  • hba
I know that the Area of a circle = pi r^2
tkhunny
  • tkhunny
New Radius is 10% greater than old radius. R = r*1.1 Area of new circle: \(\pi R^{2}\).
hba
  • hba
Got it what next ?
tkhunny
  • tkhunny
Raio of New Area to Old Area \(\dfrac{\pi R^{2}}{\pi r^{2}}\).
hba
  • hba
Ratio*
tkhunny
  • tkhunny
*Ratio - right A little algebra \(\dfrac{\pi R^{2}}{\pi r^{2}} = \dfrac{R^{2}}{r^{2}} = \dfrac{(1.1\cdot r)^{2}}{r^{2}} = \dfrac{1.1^{2}r^{2}}{r^{2}} = 1.1^{2} = 1.21\) And we see a 21% increase!
hba
  • hba
Thank you.

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