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EleoNora [17]
3 years ago
9

Kareem cuts 12 identical circles of pastry form a 30cm by 40cm sheet. Find the area of pastry {which remains}

Mathematics
2 answers:
ch4aika [34]3 years ago
6 0
<h3>Exact Area = 1200 - 300pi   square cm</h3><h3>Approximate Area = 257.522203923062 square cm</h3>

Work Shown:

The area of the rectangle is 40*30 = 1200 square cm

Note how we have 4 circles along the horizontal dimension which is 40 cm, so each diameter is 40/4 = 10 cm, and the radius is 10/2 = 5 cm

Each circle has an area of pi*r^2 = pi*5^2 = 25pi

There are 4*3 = 12 circles, so the circle areas combine to 12*25pi = 300pi

Using a calculator, we find that 1200 - 300pi = 257.522203923062 approximately. Round this however you need to.

solmaris [256]3 years ago
4 0

Answer:

258 cm²

Step-by-step explanation:

A = 40*30 = 1200 cm²

Ac =  12×πr² = 12×3.14×25 = 942 cm²

Apwr = A - Ac = 1200cm² - 942cm² = 258 cm²

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