Pre-Calculus problem, please help!?

The arc length of a circle is always the radians of the angle that it makes with its endpoints times the radius. So in this case, the arc length of the circle with a radius 12 cm and a central angle of 105 degrees, (written in radians, which is crucial for calculations, is (105/360)*2*pi) or 1.8326 radians, is equal to 1.8325*12 cm = 21.9911 cm, or about 21.99 cm

So choice b :D

Always good to remember that the length of the arc is just the radius of the circle times the angle that the arc makes (in radians, nor degrees!) :D

An arc is essentially a portion of the total circumference of the circle. In this case we only have 105 degrees, therefore it is (105 / 360) or 29.2% of a full circle. The circumference of a full circle is equal to pi * diameter, so we can find the arc length by multiplying this by the percentage we have.

ArcLength = (105 / 360) * pi * d = 0.292 * 3.14 * 24 = 21.99cm

this is the thank you to remedy utilising row-cut back x + y + z = 7 3x - 2y + z = 3 x + 6y + 3z = 25 a million a million a million | 7 3 -2 a million | 3 a million 6 3 | 25 R2 = R2 - 3 * R3 a million a million a million | 7 0 -20 -8 | -seventy two a million 6 3 | 25 R3 = R3 -R1 a million a million a million | 7 0 -20 -8 | -seventy two 0.5 2 | 18 R3 = R3 + a million/4 * R2 a million a million a million | 7 0 -20 -8 | -seventy two 0 0 0 | 0 R1 = R1 + a million/20 * R2 a million 0 .6 | 3.4 0 -20 -8 | -seventy two 0 0 0 | 0 R2 = -R2/20 a million 0 .6 | 3.4 0 a million .4 | 3.6 0 0 0 | 0 So the ideal constraints are that: x + .6z = 3.4 y + .4z = 3.6 case in point, recommendations incorporate: x = a million a million + .6z = 3.4 .6z = 2.4 z = 4 y + .4z = 3.6 y + a million.6 = 3.6 y = 2 x = a million, y = 2, z = 4 x = 2 2 + .6z = 3.4 .6z = a million.4 z = 2.33.. y + .4(2.33..) = 3.6 y = 2.sixty six x = 2, y = 2.sixty six, z = 2.33

Arc length = radius * radians

Change degrees to radians . 105 / 180 * Pi

105 degrees = 1.83 radians

1.83 x 12 = 21.99

P = 2 Pi 12. (105/360)

P = 21.9911

b) 21.99

105/360 = 0.2917 the arc =.2917 times the circumference

circumference = 2*PI*R

arc =.2917*2*PI*12 = 22cm

c=2pi*r

2pi=360 degrees

so you have to substitute the pi value for 105 degrees

c=2pi(105/360)*12