Please help with this question. Just ignore the picture at the top

Mathematics

1 answer:

larisa86 [58]3 years ago

7 0

Answer:

s^2

Step-by-step explanation:

Let s be the length of the side of the original square piece. The maximum circle that can be inscribed in the square has a diameter of s, or a radius of s/2. Now, to inscribe a square in this circle, its maximum dimension, the diagonal, will be equal to the diameter of the circle, s. This square will have sides of s/SQRT(2), and so have an area of s^2/2. Since the area of the original piece is s^2, exactly one half of the area has been chopped off in this rather wasteful metal shop procedure.

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Rzqust [24]

Answer:

Red circle: 30 cm

Blue circle: 60 cm

Step-by-step explanation:

The circle's circumference is calculated with

$d \times \pi$

They want you to make it about how long it is so instead of pi we can just use 3 (since pi is about 3,14). The diameter (d) is double the ratio.

So now we just put in the numbers.

For the red one

$10 \times 3 = 30$

The circumference is about 30 centimetres.

For the blue one

We know the ratio of the smaller so we just add together the small ratio with the rest of the length that we know so the blue one's ratio is 10 cm. (5+5=10)

And now we just put the numbers in again.

$20 \times 3 = 60$