Question

What is the best approximation for the perimeter of a semicircle with a diameter of 64 meters?

Answer 1

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 = $2\pi r$ , where r is radius of circle .

⇒ $Perimeter = 2\pi r$

⇒ $Perimeter = 2\pi \frac{D}{2}$ , 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.

⇒ $Perimeter = \frac{2\pi \frac{D}{2}}{2}$

⇒ $Perimeter = \pi \frac{D}{2}}$

Diameter = 64 meters

⇒ $Perimeter = (3.14) \frac{64}{2}}$

⇒ $Perimeter = (3.14) 32$

⇒ $Perimeter = 100.48 m$

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