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Question

If the radius of a circle is increased by 6%, then the area of the circle is increased by -

3.6%

6%

12.36%

36%

ANSWER : 3

Descrption

<p>Initial area  = &nbsp;<span style = "color: #202124; font - family: arial, sans - serif; font - size: 16px; background - color: #ffffff;">&pi;</span>r<sup>2</sup></p>
<p>New radius  =  r   +   6% of r  =  1.06r</p>
<p>So, new area  = &nbsp;<span style = "color: #202124; font - family: arial, sans - serif; font - size: 16px; background - color: #ffffff;">&pi;</span>(1.06r)<sup>2</sup>  =  1.1236<span style = "color: #202124; font - family: arial, sans - serif; font - size: 16px; background - color: #ffffff;">&pi;</span>r<sup>2</sup></p>
<p>So, percentage of increase in area  =  (1.1236<span style = "color: #202124; font - family: arial, sans - serif; font - size: 16px; background - color: #ffffff;">&pi;</span>r<sup>2</sup>  - &nbsp;<span style = "color: #202124; font - family: arial, sans - serif; font - size: 16px; background - color: #ffffff;">&pi;</span>r<sup>2</sup>) /&nbsp;<span style = "color: #202124; font - family: arial, sans - serif; font - size: 16px; background - color: #ffffff;">&pi;</span>r<sup>2</sup> x 100%  =  <strong>12.36%</strong></p>

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