Graph using y=mx+b. The point of intersection is (3,8)
Arc Length = radius * Angle in radians
Arc Length = 27.4 *
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5.4977871438
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Arc Length =
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150.6393677396
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inches
Source:
http://www.1728.org/radians.htm
X=3
X/-3 = -1 ,Leave X by itself so multiply by -3 on both sides.
X = -1*-3
X = 3, negative times negative equals positive.
You are trying to find the side between the right angle and the degree (This is known as the adjacent)
You are given degree 42
You also given the longest side of 19 (This is known as the hypothenuse)
Cosine: adjacent/hypothenuse
Cos42 = x/19
0.7431448255 = x/19
x = 19 * 0.7431448255
x = 14.11975168, round to tenth
Solution: x = 14.1
Circumference is a linear distance. So if the diameter is in feet, then the circumference is also in feet (not square feet or cubic feet)
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Example:
Let's say we had a circle with diameter d = 10 feet
The circumference is approximately...
C = pi*d
C = 3.14*10
C = 31.4
The circumference is roughly 31.4 feet
The circumference is essentially the distance around the circle's edge. We can use a flexible ruler or a string to help measure out this distance, or you can imagine laying the circle's edge to be placed along a straight line, which is another way to help measure the perimeter.