Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

If the circumference of the circle is reduced by 50%, then by how much per cent area of the circle reduced? Explain with an example.



The Brainliest Answer!
Let initial radius = r unit.
∴ Initial circumferance = 2πr unit.
∴Initial area = πr² sq unit.
Now, final circumference = 2πr - 50% of 2πr = πr unit.
let final radius be 'a' unit.
∴ 2πa = πr.
⇒a = r/2.
∴ Final area = πa² = πr²/4 sq unit.
∴ Reduction in area= (πr²-πr²/4)/πr²*100 = 75%.(Ans.)
All the best !!!

2 5 2
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts