Question

A circle of radius 1 centimetre if the diameter of circle is increased by 100% then its area is increased by

Answer 1

Step-by-step explanation:

Given A circle of radius 1 centimetre if the diameter of circle is increased by 100% then its area is increased  by

•  Let  the diameter be 100 cm
• New diameter = 200 cm
• Change in area will be π (100)^2 – π (50)^2
•                                    = π (100^2 – 50^2)
•                                   = π (100 + 50) (100 – 50)
•                                        = π x 150 x 50
•                                       = 7500 π cm^2
• Percentage increase will be 7500 π / 50 x 50 x π  

                                           = 300%

   # BAL