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Can you find the AREA of this shape please, thank you! ​

Can you find the AREA of this shape please, thank you! ​-example-1
User Wmakley
by
2.6k points

1 Answer

7 votes
7 votes

Answer:

40.81125m²

Explanation:

Hello!

Step 1: Rectangle

We can find the area of the rectangle by multiplying the base by the height.

  • A = base * height
  • A = 5m * 2m
  • A = 10m²

Step 2: Area small semicircles

If we add the two semicircles, we can see that it's actually 1 whole circle.

So we can simply find the area of the whole circle.

radius = 1/2 * diameter

  • A = πr²
  • A = (3.14)(1m)²
  • A = 3.14m²

Step 3: Large semicircle

Now for the last part, the large semi-circle at the top.

Since it's half a circle, we can manipulate the formula by finding half of it.

  • A = (1/2)πr²
  • A = (1/2)(3.14)(2.5m)²
  • A = (1/2)19.625m²
  • A = 9.8125

Step 4: Total Area

Total area = 10m² + 3.14m² + 9.8125m²

= 40.81125m²

User GregT
by
2.8k points