Question

the difference between circumference and radius of circle is 37 cm. the area of the circle is?

Answer 1

Heya !!


Let R be the radius of circle.



Circumference of circle = 2πR

According to the question,


2πR - R = 37



R ( 2π - 1 ) = 37



R ( 2 × 22/7 - 1 ) = 37


R ( 44/7 - 1 ) = 37



R ( 44 - 7 )/7 = 37




R ( 37 ) = 37 × 7



R = ( 37 × 7 ) / 37



R = 7 cm



Radius ( R ) = 7 cm


Therefore,



Area of circle = πR²


=> 22/7 × 7 × 7



=> 154 cm².

Answer 2

HEYA!
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Let radius of the circle be R

The circumference of a circle = 2πR

Given that ,

2πR - R = 37

R ( 2 × 22/7 -1 ) = 37

R ( 44/7 -1 ) = 37

R ( 37/7 ) = 37

R = 37 × 7 / 37

R =7 cm .


Area of a circle = πR^2

= 22/7 × 49

= 154 cm^2

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