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This figure consists of a rectangle and a quarter circle.

What is the perimeter of this figure?

Use 3.14 for π.



Enter your answer as a decimal in the box.

This figure consists of a rectangle and a quarter circle What is the perimeter of this figure Use 314 for π Enter your answer as a decimal in the box class=

Respuesta :

582267

Answer: add all the sides up 20+2+2+11+3.14

Step-by-step explanation:

Answer:  61.27 cm

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Work Shown:

The bottom most horizontal portion is 2 cm long since opposite sides of a rectangle are the same length. The right-most vertical piece, toward the bottom, is 20-11 = 9 cm long.

The curved piece represents 1/4 of the distance around a full circle of radius 11. So we'll need to find the circumference of the full circle of radius 11.

C = 2*pi*r

C = 2*3.14*11

C = 69.08

Then divide by 4 to get 69.08/4 = 17.27

The curved piece is roughly 17.27 cm long.

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We have these 6 pieces that make up the full perimeter

  1. top horizontal = 2 cm
  2. left vertical = 20 cm
  3. bottom horizontal = 2 cm
  4. right vertical = 9 cm
  5. middle horizontal = 11 cm
  6. curved piece = 17.27 cm (approximate)

Adding those 6 pieces leads to: 2+20+2+9+11+17.27 = 61.27

The perimeter is 61.27 cm. This value is approximate since pi = 3.14 is approximate.

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