2 Nine identical circles are cut from a square sheet of paper whose sides are

Mathematics

1 answer:

Ivanshal [37]3 years ago

6 0

Answer:

278.64cm²

Step-by-step explanation:

Area of the sheet left out = Area of the square - Area of the 9 circles

Area of the square = L^2

L is the side length of the square

A = 36^2

Area of the square = 1296cm^2

Diameter of a circle = 38/3 = 12cm

Area of a circle = πr²

r is the radius = 12/2 = 6cm

Area of a circle = 3.14(6)²

Area of a circle = 3.14 * 36

Area of a circle = 113.04cm²

Area of 9 circles = 9 * 113.04

Area of 9 circles = 1,017.36cm²

Area of the left over = 1296 - 1,017.36

Area of the left over = 278.64cm²

You might be interested in

Janet can plant nine feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour.

Lena [83]

Answer:

Step-by-step explanation:

In order to find who is more efficient at planting carrots, we want to put both ratios in terms of the same amount of time.

For simplicity, lets see how many carrots each can make in 1 hour.

$Janet:\\9ft \: in \: 15 \:minutes$

$\frac{9ft}{15min} = \frac{xft}{60min}\\x = \frac{60*9}{15} = 36$

Janet can plant 36 feet of carrots in one hour

$Amy:\\\frac{17ft}{30min} = \frac{xft}{60min}\\x = \frac{17*60}{30} = 34$

Amy can plant 34 feet of carrots in one hour

So, Janet can plant carrots more quickly

6 0

3 years ago

1 point) during a winter season at one ski resort, there are two roads from area a to area b and two roads from area b to area

miss Akunina [59]

Probability that both roads from a to b are blocked is the product of the individual probabilities, i.e.
P(~ab)=0.25*0.25=0.0625
Similarly
P(~bc)=0.25*0.25=0.0625
Probability that EITHER one or both of ab and bc are blocked is the sum of the probabilities:
P(~ab ∪ ~bc)=0.0625+0.0625=0.125
(recall that one cannot travel from a to c if either ab or bc is blocked.)

Therefore the probability that there exists an open route from a to c
= P(ac) = 1-P(~ab ∪ ~bc)
= 1 - 0.125
=0.875

5 0

3 years ago

A swimming pool is a rectangular prism. The pool is 36 feet long and 20 feet wide. What is the total amount of water, in cubic f

Sliva [168]

Answer:

$2880\ ft^{3}$