Question

the perimeter of a circle is 4πr. what is the area of the circle?​

Answer 1

Answer:

given  

PERIMETER = 4 pie r

2 pie R = 4 pie r  

so R = 4pie r ÷ 2 pie  

R = 2r  

so AREA OF CIRCLE

= pie R^2

=pie (2r ×2r)

= pie ( 4r^2)

= 4 pie r^2

Step-by-step explanation:

Answer 2

Answer:

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Step-by-step explanation:

Given perimeter of circle = 4πr

Which can be written as = 2π(2r)

We know that the perimeter of a circle = 2πr

Therefore we have radius = 2r

We also know that area of circle = πr²= π(2r)²= 4πr²