Question

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

Answer 1

Question :-

Find the perimeter of the adjoining figure, which 5 is a semicircle including its diameter 10 cm

Solution :-

• given:- diameter = 10cm

∴⠀⠀⠀⠀⠀⠀⠀⠀⠀r = $\dfrac{10}{2}$

⠀⠀⠀⠀⠀⠀⠀= 5cm

∴⠀Perimeter of the semicircle

⠀⠀⠀⠀⠀⠀⠀⠀= $\pi \times r$

⠀⠀⠀⠀⠀⠀⠀ = ${ \dfrac{22}{7}\:×\:5}$

⠀⠀⠀⠀⠀⠀= $\dfrac{110}{7}$cm

Perimeter of the figure with diameter

⠀⠀⠀⠀⠀⠀⠀⠀= ${ \dfrac{110}{7}cm\:+diameter}$

⠀⠀⠀⠀⠀⠀⠀⠀= ${ \dfrac{110}{7}cm\:+10cm}$

⠀⠀⠀⠀⠀⠀⠀⠀= $\dfrac{110+70}{7}$cm

⠀⠀⠀⠀⠀⠀⠀⠀= $\dfrac{180}{7}$cm

⠀⠀⠀⠀⠀= 25.71 cm