Question

find the radius of a circle whose circumference is 4.4 cm​

Answer 1

Answer:

2pie r=2×22/7×r

4.4cm=2×22/7×r

4.4cm×1/2×7/22=r

15.4 cm /22=r

0.7 cm=radius

Answer 2

Answer:

The radius of the circle is $0.7$ cm.  

Step-by-step explanation:  

In context to the question asked,    

We have to find the radius of a circle,  

As per data given in the question,    

We have,  

Circumference of circle = $4.4$ cm  

For calculating the radius of a circle,  

The formula to be used for,  

Circumference of circle = $2\pi r$  

By substituting the values,  

$=> 4.4 = 2\times \frac{22}{7} \times r$

Expressing $(2\times \frac{22}{7} )$ as a single fraction,

$=> 4.4 =\frac{2\times 22}{7} \times r$

Multiply $2$ and $22$ to get $44$.

$=> 4.4 = \frac{44}{7}\times r$

Swap sides so that all variable terms are on the left-hand side.

$=> \frac{44}{7}\times r= 4.4$

Multiply both sides by $\frac{7}{44}$, the reciprocal of $\frac{44}{7}$,

$=> r=4.4 \times \frac{7}{44}$

Convert decimal number $4.4$ to fraction $\frac{44}{10}$.

Now, Reduce the fraction $\frac{44}{10}$  to the lowest terms by extracting and canceling out $2$.

$=> r = \frac{22}{5} \times (\frac{7}{44})$

Multiply $\frac{22}{5}$ times $\frac{7}{44}$  by multiplying numerator times numerator and denominator times denominator.

$=> r=\frac{22\times 7}{5\times 44}$

Multiply the terms in the numerator as well as the denominator,

$=> r=\frac{154}{220}$

Reduce the fraction $\frac{154}{220}$ to the lowest terms by canceling out $22$.

$=> r=\frac{7}{10}$

$=> r = 0.7$

Hence radius of the circle is $0.7$ cm.