Question

please help me with the above problem given in the pic

Answer 1

In the question,
It is given that the difference of circumference and radius of the circle is 37 cm.



From the properties of circle, we know :

Circumference of circle = 2πr, where r is the radius of the circle.


Now,
According to the question :

= > Circumference of the circle - radius of the circle = 37 cm

From above, circumference of circle is 2πr, where r is the radius of the circle.

Then, let the radius of the circle is a cm,
So,

= > 2πa - a = 37 cm

= > a( 2π - 1 ) = 37 cm


Note : π =$\dfrac{22}{7}$


$= > a \bigg( 2\times \dfrac{22}{7} - 1 \bigg) = 37 \: cm \\ \\ \\ = > a \: \times \dfrac{44 - 7}{7} = 37 \: cm \\ \\ \\ = > a \times \dfrac{37}{7} = 37 \: cm \\ \\ \\ = > a = 37 \times \dfrac{7}{37} \: cm \\ \\ \\ = > a = 7 \: cm$



Therefore the radius of of the circle is 7 cm.

Answer 2

Circumference=2πr
Radius=r

Difference=37cm

2πr-r=37
Taking r common
r(2π-1)=37
r(2×22/7-1)=37
r(44/7-1)=37
r(44-7/7)=37
r(37/7)=37
r=37×7/37
r=7cm

Hence radius=7cm