Question

Find the diameter of a circle whose circumference is 23.326km

Answer 1

$\large\bf\underline{Given:-}$

Circumstance of circle = 23.326km

$\large\bf\underline {To \: find:-}$

• Diameter of circle.

$\huge\bf\underline{Solution:-}$

➥ Circumference of circle = 2πr

$\tt \hookrightarrow \: 23.326 = 2 \times \frac{22}{7} \times \: r \\ \\ \tt \hookrightarrow \: 23.326 = \frac{44}{7} \times \: r \\ \\ \tt \hookrightarrow \: 23.326 \times \frac{7}{44} = r \\ \\ \tt \hookrightarrow \: \frac{163.282}{44} = r \\ \\ \hookrightarrow \tt \: 3.7 = r\\ \\\hookrightarrow \mid {\underline{ \boxed { \bold {r = 3.7km}}}} \mid$

Diameter = 2× Radius

Diameter = 2 × 3.7

⠀⠀⠀⠀⠀⠀= 7.4

hence,

✝️ Diameter of circle = 7.4km.

$\rule{200}3$

▶️Formulas related to circle:-

»★Perimeter of circle = 2πr

»★ Area of circle = πr²

Answer 2

★ Question

Find the diameter of a circle whose circumference is 23.326km

★ Given

• circumference = 23.326 km

★ To find

• Diameter = ?

we know diameter = 2×radius

we have to find radius 1st then multiply by 2 in radius to get diameter.

★ Solution

$\sf→Circumference = 2πr\\\sf→ 23.326 = 2×3.14×r\\\sf→ 23.326= 6.28r\\\sf→ r=\frac{23.326}{6.28}\\\sf→r = 3.71$

Hence,

Radius = 3.71

Diameter = 3.71×2

= 7. 42km