In a unit circle, what is the length of an arc that subtends an angle of
π/4 radians?

A unit circle has radius 1, and thus circumference .

Since an angle of is one eighth of a whole turn, the length of an arc that subtends an angle of   radians will be one eighth of the whole circumference:

In fact, the radians have the property that, in the unit circle, the length of the arc is exactly the measure of the angle. In general, you have

where l is the length of the arc, r is the radius and is the angle in radians. So, if , you have

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

1. 2

2. 11

3. 5

4. 6

5. 7

6. 5

7. -1

8. 1

step-by-step explanation: