the retio of the circumference of two cricle is 3:1 if the circumferen

1.	the retio of the circumference of two cricle is 3:1 if the circumference if figger cricle is 39.36 cm the redius of the smaller cricle is
Answer» Given : Ratio of circumference of two circle = 3:1 Circumference of bigger circle = 39.36 cm To find : RADIUS of SMALLER circle Formula used : Circumference of circle = 2π × radius Solution : It is given that ratio of circumference of two circle is 3:1 ➝ Circumference of bigger circle : Circumference of smaller circle = 3 : 1 $\sf \implies \dfrac{Circumference \: of \: bigger \: circle }{ Circumference \: of \: smaller \: circle}\:= \dfrac{3}{ 1}$ $\sf \implies \dfrac{39.36 \: cm}{ Circumference \: of \: smaller \: circle}\:= \dfrac{3}{ 1}$ $\sf \implies \dfrac{39.36 \: cm}{ 3}\:= Circumference \: of \: smaller \: circle$ $\sf \implies Circumference \: of \: smaller \: circle \: = \: 13.12 \: cm$ ________________________________ Let , R be radius of smaller circle Therefore, circumference of smaller circle = 2πr $\sf \implies 2\pi \: r \: = \: 13.12 \: cm$ $\sf \implies \: r \: = \: \dfrac{13.12 \: cm}{2\pi}$ $\sf \implies \: r \: = \: \dfrac{6.58 \: cm}{3.14}$ $\sf \implies \: \bold{r \: = \: 2.1\: cm}$ ________________________________ ANSWER : Radius of smaller circle = 2.1 cm