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A window. The top edge of the window is a semicircle. The bottom portion is a rectangle.
The top edge of the window is a semicircle. The distance across the window is 2.5 ft. What is the distance around the top edge of the window? Use 3.14 for π, and round your answer to the nearest tenth.

2.5 ft
3.9 ft
5 ft
7.85 ft

Respuesta :

The distance around the top edge of the window is 3. 9 feet. Option B

How to determine the distance

From the information given, we have that:

  • Top edge of window is a semi circle
  • Bottom is a rectangle
  • Distance around the edge is unknown
  • The distance across the window is 2. 5ft

Note that the distance across the window is the diameter

Let's find the radius

Radius = diameter/ 2

Radius = 2. 5 / 2

Radius = 1. 25 ft

Then, we calculate the circumference of the circle which will be:

= 2πr

= 2 × 3.14 × 1.25

= 7.85 ft

Note that it's a semi circle, therefore we divide the perimeter by 2. This will be:

= 7.85/2

= 3.9 feet

Thus, the distance around the top edge of the window is 3. 9 feet. Option B

Lean more about semicircles here:

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