Math, asked by tanmaychaudhary1818, 5 months ago

pls answer all steps

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Answered by bson
0

Step-by-step explanation:

perimeter of 1/2 circle = 2pi*r/2 =pi*r

diameter = 2r = 14

2r=14

r=14/2 =7

perimeter of whole figure = pi*7+14 =22/7*7 +14

=22+14=36

Answered by Rubellite
8

\Large{\underbrace{\sf{\pink{Required\:Solution:}}}}

Given thαt,

  • The diαmeter of the semicircle is 14cm.

◾️We need to find it's perimeter.

_____________

To do so,

We must know the rαdius of the circle.

\displaystyle{\sf{ \dfrac{diameter}{2} = radius}}

\longrightarrow{\bf{ \dfrac{14}{2} = 7cm}}

Hence the rαdius is 7cm.

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

If we have to find the perimeter of circumference of semicircle, we should multiply it by 1/2.

Therefore,

  • Substitute the values and multiply it by 1/2.

\longrightarrow{\sf{ \dfrac{1}{2} \times 2\times \dfrac{22}{7} \times 7}}

  • Cancel out 2 and 7.

\longrightarrow{\sf{ \dfrac{1}{ \cancel{2}} \times \cancel{2} \times \dfrac{22}{\cancel{7}} \times \cancel{7}}}

\longrightarrow{\sf{22cm}}

  • Now αdd 14cm to it becαuse it is diameter.

\longrightarrow{\sf{ 22cm + 14cm}}

\large\implies{\boxed{\sf{\pink{36cm}}}}

Hence, the perimeter of this shαpe is 36cm.

And we αre done! :D

_________________________

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