If the radius of a circle is diminished by 10%, then its area is diminished by:

Let the radius of the circle be “r”.

So, the area of a circle = πr2

If the radius of a circle is diminished by 10%, new radius, r = r – (10% of r)

r = 90% of r

r = (90/100)r

r = 9r/10

We know that the area of a circle is πr2 square units.

Now, substitute r = 9r/10

A = π(9r/10)2

A = π(81r2/100)

Therefore, the change in area = πr2  – π(81r2/100)

A = (19/100)πr2

A = 0.19 πr2

Hence, the area is diminished by 19%.

Was this answer helpful?

 
   

4 (4)

(7)
(1)

Choose An Option That Best Describes Your Problem

Thank you. Your Feedback will Help us Serve you better.

Leave a Comment

Your Mobile number and Email id will not be published. Required fields are marked *

*

*

BOOK

Free Class

Ask
Question