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Q.

A circular metal plate expands under heating so that its radius increases by 2%. Find the approximate increase in the area of the plate if the radius of the plate before heating is 10cm.


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a

Question Image

b

Question Image

c

Question Image 

d

Question Image 

answer is A.

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Detailed Solution

We are given that a circular metal plate expands under heating so that its radius increases by 2% and the radius of the plate before heating is 10cm. We have to find the increase in the area of the plate after heating.
Radius of the circular plate before heating = 10cm.
Area of the circular plate is Question Image Question Image Radius of the plate is increased by 2% after heating.
The new radius R isQuestion Image The area of the plate after heating isQuestion Image Question Image Increase in the area is Question Image
The approximate increase in the area of the circular plate after heating is Question ImageSo, option 1 is correct.
 
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