Answer:
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Step-by-step explanation:
To solve this problem, we should first recall that the circumference
is the measure of the total arc enclosing the circle. The formula for
circumference is:
Circumference = 2 π r
where r is the radius of the circle
Now since we are only looking for a fraction of the arc,
not the total arc, therefore this simply means we are finding for a portion of the
circumference. Now we use the formula:
Arc length = (θ / 360) * 2 π r
Where θ/360 represents how much of the fraction is the arc
Convert angle to degrees: θ = 1.5 rad (180° / π
rad) = (270/π)°
Therefore the arc length is:
Arc length = (270/π / 360) * 2 π (8 inches)
Arc length = 12 inches
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>
Rearrange into slope-intercept form:
Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of 
. Plug this into :
<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>
Plug in the given point (1,3) and solve for <em>b</em>:
Therefore, the y-intercept is 
. Plug this back into :
I hope this helps!
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