Question

Find the perimeter of the given figure​

Answer 1

Given :

• Radius of the semicircle = 7 cm

To Find :

• Perimeter of the semicircle.

Calculations :

❖ Here, we are provided with the radius of a semicircle, and we have to calculate the perimeter of a semicircle. In order to calculate the perimeter (semicircle),

Formula used :

• $\underline{\boxed{ \tt{\pi \times r + 2 \times r}}}$

Here,

• Radius = 7 cm

Now, substituting the values in the equation as per the formula,

• ${\boxed{\pi \mapsto \sf\dfrac{22}{7}}} \star$

$\longrightarrow \sf Perimeter_{(Semicircle)} = \bigg(\dfrac{22}{7} \bigg) \times 7 + (2 \times 7) \\ \\ \longrightarrow \sf Perimeter_{(Semicircle)} = 22 + (2 \times 7) \\ \\ \longrightarrow \sf Perimeter_{(Semicircle)} = 22 + 14 \\ \\ \longrightarrow \boxed{\rm{ \pmb{ \purple{Perimeter_{(Semicircle)} = 36 \: cm}}}}$

Therefore,

• Perimeter of semicircle is 36 cm.

Answer 2

Given : Radius of Semi-circle is 7cm .

Need To Find : Circumference of Circle.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

⠀⠀⠀⠀⠀Finding Circumference of Semi-circle :

$\dag\:\cal{As,\:We\:know\:that\::}$

$\qquad \quad \dag\:\:\bigg\lgroup \sf {\underline {Circumference _{(Semi-circle)} = \pi r+ 2r }}\bigg\rgroup$

⠀⠀⠀⠀⠀Here r is the Radius of Semi-circle and $\pi =\dfrac{22}{7}$

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

$\qquad \longmapsto \sf{ \dfrac{22}{7} \times 7 + 2 \times 7 }$

$\qquad \longmapsto \sf{ \dfrac{22}{7} \times 7 + 14 }$

$\qquad \longmapsto \sf{ \dfrac{22}{\cancel {7}} \times \cancel {7} + 14 }$

$\qquad \longmapsto \sf{ 22 + 14 }$

$\qquad \longmapsto \cal{\purple {\underline { Circumference= 36\:cm }}}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Circumference \:of\:Semi-circle \:is\:\bf{36\: cm}}}}$