Question

find the diameter of a circle whose circumference is 176cm......

Answer 1

Circumference of circle=2πr

2πr=176cm
2r × 22/7 =176cm
2r=176×7/22
2r=56cm

therefore diameter= 2r=56cm



I HOPE IT WILL HELP YOU

Answer 2

Answer :

• ☞ Diameter of the circle is 56 cm.

Solution :

✷ Given :

• Circumference of circle is 176cm.

✷ To Find :

• Diameter of the circle.

━━━━━━━━━━

Circumference of the circle is given and we have to find its diameter . we can easily find its radius. And we also know that diameter is double of the radius. So, we will double the radius to get diameter.

$\red\bigstar\boxed{\text{ \sf Circumference of Circle} = 2\pi r }$

$\large\mathfrak{Substituting\: the \:values }$

$\leadsto 176 = 2 \pi r \\ \\ \leadsto 176 = 2\times \dfrac{22}{7} \times r \\ \\ \implies r = \dfrac{7}{\cancel{22}}\times \dfrac{1}{2} \times ^8 \cancel{176} \\\\ \implies r = \dfrac{7\times ^4 \cancel{8}}{\cancel{2}} \\ \\ \implies r = 7 \times 4 \\ \\ \implies \underline{\boxed{\pink{\sf r = 28cm}}}$

we know that,

$\red\bigstar\:\boxed{\sf Diameter = 2\times radius}$

So,

➢ Diameter = 2 × 28

➢ Diameter = 56 cm.

Hence,

Diameter of the circle is 56 cm.

${\fcolorbox{red}{blue}{\orange{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: SugarCrash\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}$