What is the best approximation for the perimeter of a semicircle with a diameter of 64 meters?
Use 3.14 to approximate pi.


100.48m

164.48m

200.96m

264.96m

Respuesta :

Correct option A) 100.48m .

Step-by-step explanation:

Here we have , Diameter of a semicircle is 64 meters . We need to find the perimeter of semicircle . Let's find out:

We know that perimeter of a circle = [tex]2\pi r[/tex] , where r is radius of circle .

⇒ [tex]Perimeter = 2\pi r[/tex]

⇒ [tex]Perimeter = 2\pi \frac{D}{2}[/tex] , where D is diameter of a circle .

Since, a semicircle is half of a circle so Perimeter of semicircle will also be half of circle i.e.

⇒ [tex]Perimeter = \frac{2\pi \frac{D}{2}}{2}[/tex]

⇒ [tex]Perimeter = \pi \frac{D}{2}}[/tex]

Diameter = 64 meters

⇒ [tex]Perimeter = (3.14) \frac{64}{2}}[/tex]

⇒ [tex]Perimeter = (3.14) 32[/tex]

⇒ [tex]Perimeter = 100.48 m[/tex]

Therefore , Perimeter of semicircle is 100.48 m . Correct option A) 100.48m .

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