Question

2) If the circumference of a circle
is
176 cm , find its radius​

Answer 1

Step-by-step explanation:

Circumference of a circle = 2πr

176cm = 2πr

2πr = 176cm

2 × 22/7 × r = 176cm

44/7 × r = 176cm

r = (176×7)/44 cm

r = (4×7) cm

r = 28cm

Answer 2

$\large\underline{\bold{Given\:Question - }}$

• If the circumference of a circle is 176 cm , find its radius

Answer

$\large\underline{\sf{Given- }}$

$\rm :\longmapsto\:Circumference_{(circle)} = 176 \: cm$

$\large\underline{\sf{To\:Find - }}$

$\rm :\longmapsto\:radius_{(circle)}$

$\begin{gathered}\Large{\sf{{\underline{Formula\: Used-}}}}  \end{gathered}$

$\rm :\longmapsto\:Circumference_{(circle)} \: = \: 2 \: \pi \: r$

where,

• r is radius of circle.

$\large\underline{\sf{Solution-}}$

Given that

$\rm :\longmapsto\:Circumference_{(circle)} = 176 \: cm$

$\rm :\longmapsto\:2 \: \pi \: r \: = 176$

$\rm :\longmapsto\:2 \times \dfrac{22}{7} \times r = 176$

$\rm :\implies\:r \: = \: 28 \: cm$

$\bf\implies \:radius_{(circle)} \: = \: 28 \: cm$

Additional Information :-

$\boxed{ \bf{ \: Area_{(circle)} = \pi \: {r}^{2} }}$

$\boxed{ \bf{ \: Area_{(rectangle)} = length \times breadth}}$

$\boxed{ \bf{ \: Area_{(square)} = {(side)}^{2}}}$

$\boxed{ \bf{ \: Area_{(rhombus)} = base \times height}}$

$\boxed{ \bf{ \: Area_{(right \triangle)} = \dfrac{1}{2} \times base \times heigt}}$