Question

The circumference of a circle is 62.8 cm. Find the radius and the area of the
circle. (take π=3.14)

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Answer 1

Given :

• Circumference of Circle = 62.8 cm

To Find :

• Radius of Circle = ?

SolutioN :

~ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Circumference = 2 \pi r }}}}}$

Where :

• ${\sf{ \pi = 3.14 }}$
• r = Radius = ?
• Circumference = 62.8 cm

$\\ \qquad{\rule{150pt}{1pt}}$

~ Calculating the Radius :

${\longmapsto{\qquad{\sf{ Circumference = 2 \pi r }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 62.8 = 2 \times 3.14 \times r }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 62.8 = 6.28 \times r }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \dfrac{62.8}{6.28} = r }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \cancel\dfrac{62.8}{6.28} = r }}}} \\ \\ \\ \ {\qquad \: \: {\therefore \: {\underline{\boxed{\red{\pmb{\frak{ Radius = 10 \: cm }}}}}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

~ Therefore :

❛❛ Radius of the given circle is 10 cm . ❜❜

$\\ {\underline{\rule{300pt}{9pt}}}$

Answer 2

Given :-

➡Circumference of circle = 62.8 cm

➡(take π=3.14)

To Find :-

➡ ‎ ‎ ‎ ‎ ‎ ‎ ‎Radius = ?

➡ ‎ ‎ ‎ ‎ ‎ ‎ ‎Area of Circle = ?

Solution Start :-

‎ ‎ ‎ ‎ ‎Circumference of Circle = 2πr

62.8 cm = 2× 3.14× r

$\frac{62.8}{2 \times 3.14} = r \\ \\ \frac{62.8}{6.28} = r \\ \\ 10 \: cm \: = r$

Radius = 10cm

__________________________

Now, Area of Circle = πr²

Area of Circle = 3.14 × 10 × 10

Area of Circle = 314 cm

Now the answers are :-

Radius of Circle = 10 cm

Area of Circle = 314 cm²