SKYBLUE1015
30.08.2019 •
Mathematics
What is the length of an arc cut off by an angle of 1.5 radians on a circle of radius 8 inches?
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Ответ:
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
Ответ:
just answered a question just like this, the answer is (5,-5) because if it in originally on both positive, and the right side of the x axis is always positive, then when you reflect it, then the x point doesn't change and the y point is just turned into a negative because the topbof the y axis is always positive, so the bottom part is negative.