Which graph correctly represents the relationship between arc length and the measure of the corresponding central angle on a cir
cle with radius r?
1 answer:
Any smooth curve connecting two points is called an arc. The correct option is c.
<h3>What is the Length of an Arc?</h3>Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
where
θ is the angle, that arc creates at the centre of the circle in degree.
If the central angle has a measure of π/2(90°), then the length of the arc will be one-fourth of the total, while if the measure of the angle is π(180°), then the length of the arc will be half of the total.
Similarly, if the measure of the angle is 3π/4, then the length of the arc will be three-fourth of the total, while if the measure of the angle is 2π(360°), then the length of the arc will be 2πr.
Hence, the correct option is c.
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You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).
The system of equations that could be graphed to solve the equation given is
Suppose the equation be
Let there is a symbol such that we have
It is because a and b are same measure (that is exactly what a = b means)
and we gave another name c to that measure.
Thus, we have
in addition to
Since the given equation is
The 2d graphs are usually expressed as on X-Y plane.
Taking the equation's expressions equal to y, we get
or, we get system of equations as
Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.
Thus,
The system of equations that could be graphed to solve the equation given is
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