What is the length of arc S shown below?
Enter an exact expression.

The length of the arc is 1.6 cm

Step-by-step explanation:

To find the value of the length of the arc, we use the length of arc formula

Mathematically, this is;

theta/360 * 2 * pi * r

where theta is the central angle

In this case pi/4 = 180/4 = 45 degrees

r = 2 cm

So the measure of the length of the arc will be;

L = 45/360 * 2 * 22/7 * 2

= 1/8 * 4 * 22/7

= 22/7 * 1/2 = 11/7 = 1.57 cm which is approximately 1.6 cm

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !