Question

The circumference of a circle exceeds its diameter by 16.8 cm.Find the radius of the circle.

Answer 1

Given,

That the circumference of a circle exceeds its diameter by 16.8$cm$ .

$\Rightarrow 2\pi r-2r=16.8$

$\Rightarrow 2r(\pi -1)=16.8$

$\Rightarrow 2r(\frac{22}{7}-1)=16.8$

$\Rightarrow 2r=\frac{16.8\times 7}{15}$

$\Rightarrow r=\frac{16.8\times 7}{30}=\frac{168\times 7}{300}=3.92cm$.

Hence, circumference of circle is $3.92cm$