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salantis [7]
3 years ago
6

A circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

128.86 square centimetres

Step-by-step explanation:

I will assume that the shaded region is the area in between the circle and the rectangle.

All we have to do is find the area of the circle and subtract it from the area of the rectangle.

Area of a circle is given as:

A = \pi r^2

where r = radius

The radius of the circle is 1 cm, so, the area of the circle is therefore:

A = \pi * 1^2 = 3.14 square centimetres

The area of a rectangle is given as:

A = L * B

The dimensions of the rectangle are 11 cm by 12 cm. The area of the rectangle is:

A = 11 * 12 = 132 square centimetres

The area of the shaded part is therefore:

A = 132 - 3.14 = 128.86 square centimetres

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Answer:

UCLc = 25.7715519

LCLc =-4.171551971

find attached the C-chart(control chart)

Step-by-step explanation:

Sample Irregularities Sample Irregularity Sample Irregularity

1 18 6 11 11 10

2 14 7 4 12 16

3 6 8 10 13 5

4 14 9 12 14 15

5 8 10 9 15 17

Samples/Irre Cont'd

16 - 4

17 - 15

18 - 9

19 - 15

20 - 17

Using these? data, set up a? c-chart with z =33.

UCLc =

LCLc =

     Sample irreg     mean(CL) UCL LCL

              ularities

1 18 10.8 25.77155197 -4.171551971

2 14 10.8 25.77155197 -4.171551971

3 6 10.8 25.77155197 -4.171551971

4 14 10.8 25.77155197 -4.171551971

5 8 10.8 25.77155197 -4.171551971

6 11 10.8 25.77155197 -4.171551971

7 4 10.8 25.77155197 -4.171551971

8 10 10.8 25.77155197 -4.171551971

9 12 10.8 25.77155197 -4.171551971

10 9 10.8 25.77155197 -4.171551971

11 11 10.8 25.77155197 -4.171551971

12 16 10.8 25.77155197 -4.171551971

13 5 10.8 25.77155197 -4.171551971

14 1 10.8 25.77155197 -4.171551971

15 17 10.8 25.77155197 -4.171551971

16 4 10.8 25.77155197 -4.171551971

17 15 10.8 25.77155197 -4.171551971

18 9 10.8 25.77155197 -4.171551971

19 15 10.8 25.77155197 -4.171551971

20 17 10.8 25.77155197 -4.171551971

find attached the C-chart

Download xlsx
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