Find the arc length of the semicircle. Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal
.
1 answer:
Answer:
The arc length of the semicircle is or
Step-by-step explanation:
The complete question in the attached figure
we know that
The circumference of a semicircle is given by the formula
where
D is the diameter of the semicircle
we have
substitute
----> exact value
Assume
----> approximate value
therefore
The arc length of the semicircle is or
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Answer:
3. 2x + y = −1
Step-by-step explanation:
To find the equation of the line, we write it first in the slope-intercept form:
where
m is the slope
q is the y-intercept
From the graph, we see that the line crosses the y-axis at y = -1, so the y-intercept is -1:
Now we have to find the slope, by calculating the rate of change of the line through 2 points:
Taking the two points at (-2,3) and (1,-3), we find:
So the equation of the line is
Now we have to re-arrange it in the standard form, so in the form
where a, b and c are integer numbers.
To do that, we simply add +2x on both sides of the equation of the line in the slope-intercept form, and we get:
So, option 3).