Question

Find the perimeter of the adjoining figure, which is a semicircle including its diameter? ​

Answer 1

Perimeter of a circle =

$2\pi \times r$

Diameter =2 times radius

Then the perimeter of a semicircle is

$\pi \times r + d$

Reason:- 2 numerator and 2 denominator cuts each other, making them 1, so this is the equation

Answer 2

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Diagram :: refer to the attachment !!

$\longrightarrow$ Diameter = 10 cm

$\longrightarrow$ Radius = 10/2 = 5 cm

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Perimeter of figure = Circumference of semicircle + diameter

$\longrightarrow$ πr + D

$\longrightarrow$ $\sf{ \dfrac{22}{7} \times 5 + 10 = \dfrac{110}{7}+10}$

$\longrightarrow$ $\sf{\dfrac{110+70}{7} = \dfrac{180}{7} = 25.71}$

$\therefore$ The perimeter of the given figure is 25.71 cm.