The difference between the circumference and the radius of a circle is 185 cm. Find the radius of a circle is -

Question: The difference between the circumference and the radius of a circle is 185 cm. Find the radius of a circle is -Solution:Let r be the radius of circleGiven that,2πr - r = 185⇒ r(2π - 1) = 185⇒ r{(44/7) - 1} = 185⇒ r (44 - 7)/7 }= 185⇒ r(37/7) = 185⇒ r = 185 (7/37)∴ r = 35∴ Radius of circle is 35 cm.