Q. 12.     The circumference of a circle is 31.4\; cm. Find the radius and the area of the circle? (Take \pi =3.14)

Answers (1)

It is given that circumference of circle is 31.4 \ cm

Now, we know that

Circumference of circle is = 2 \pi r

\Rightarrow 31.4 = 2 \pi r

\Rightarrow 31.4 = 2 \times 3.14 \times r

\Rightarrow r = 5 \ cm

Now, Area of circle (A) = \pi r^2

\Rightarrow \pi r^2= 3.14 \times(5)^2= 78.5 \ cm^2                                      

Therefore, radius and  area of the circle  are 5 \ cm \ and \ 78.5 \ cm^2  respectively 

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