Question

Example 16: The circumference of a circle is
88 cm. Find its radius.
​

Answer 1

$\huge{\green{\mathfrak{Given:}}}$

$\boxed{\textsf{\red{Circumference of the circle = 88 cm}}}$

$\huge{\green{\mathfrak{To \: Find:}}}$$\red{\boxed{\textsf{The Radius of the Circle}}}$

$\huge{\green{\mathfrak{Solution:}}}$

$\large{\textsf{\red{Formula for,}}}$

$\boxed{\large{\textsf{\red{Circumference of a Circle = 2 \pi r }}}}$

$\green{\textrm{Therefore,}}$

$\therefore \rm \blue{ 2 \pi r = 88}$

$\implies \rm \blue{ \pi r = \frac{88}{2} }$

$\implies \rm \blue{\pi r = 44}$

$\implies \rm \blue{r = \frac{44}{\pi}}$

$\implies \rm \blue{r = 44 \div \frac{22}{7}}$

$\implies \rm {\blue{r = \cancel{44} \times \frac{7}{\cancel{22}}}}$

$\implies \rm \blue{ r = 2 \times 7 }$

$\implies \rm \bf \blue{r = 14 cm}$

$\green{\textrm{Hence, The Radius of the Circle is 14cm.}}$