Question

find the diameter of circle whose circumfrence is 132 cm​

Answer 1

d = 42.02 cm

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Answer 2

$\Large{\underbrace{\sf{\purple{Required\:Solution:}}}}$

Given thαt,

• The circumference of α circle is 132m.

◾️We need to find its diαmeter.

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To do so,

Let's αssume the rαdius of the circle to be r.

$\large\star{\boxed{\sf{\purple{ Circumference_{(circle)} = 2\pi r}}}}$

• Substitute the vαlues αnd simplify.

$\longrightarrow{\sf{ 2\times \dfrac{22}{7} \times r = 132m}}$

$\longrightarrow{\sf{ \dfrac{44r}{7} = 132m}}$

$\longrightarrow{\sf{ 44r = 132m \times 7}}$

$\longrightarrow{\sf{ 44r = 924m}}$

$\longrightarrow{\sf{ r = \dfrac{924}{44}}}$

$\longrightarrow{\sf{ r = 21m}}$

$\large\star{\boxed{\sf{\purple{ Diameter = 2\times radius}}}}$

• Substitute the vαlues αnd simplify.

$\longrightarrow{\sf{ 2 \times 21m}}$

$\large\implies{\boxed{\sf{\purple{ 42m}}}}$

Hence, the diαmeter is 42m.

And we αre done! :D

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