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If the diametre of a circle …

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If the diametre of a circle is increased by40% what is the increase area of the circle Ans. 96%
  • 1 answers

Gaurav Seth 6 years, 11 months ago

The area of a circle is determined by the formula (pi)r2
The best way for you to approach this problem is by using a sample diameter. Let's use 4, since it's easy. 
1: Multiply 4 by 0.40= 1.6. So your new diameter is 5.6. 
2: Divide the diameter by two to get the radius => 2.8. 
3: Square the radius => 7.84. Now multiply by pi, using 3.14 ==> 24.62. 
4: Find the original area of the circle ==> 22*3.14 ==> 12.56. 
5: 24.62/12.56=1.96 ==> The new is 196% of the original, so the area changes by 96%.

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