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inna [77]
2 years ago
14

Which graph correctly represents the relationship between arc length and the measure of the corresponding central angle on a cir

cle with radius r?

Mathematics
1 answer:
user100 [1]2 years ago
5 0

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,

\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}

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.

Learn more about the Length of an Arc:

brainly.com/question/1577784

#SPJ1

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VikaD [51]

Answer:

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Step-by-step explanation:

As we know

Sec A = 1/Cos A

and Cosec A = 1/Sin A

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Substituting the given values, we get -

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3 0
3 years ago
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Step-by-step explanation:

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Read 2 more answers
a square has the side measurment of s = 2 3 over 2 using the formula 1= s^2 find the area of the square
vitfil [10]
Check the picture below.

\bf A=s^2\qquad s=2\frac{3}{2}\qquad A=\left( 2\frac{3}{2} \right)^2\implies A=\left( \frac{2\cdot 2+3}{2} \right)^2&#10;\\\\\\&#10;A=\left( \frac{7}{2} \right)^2\implies A=\cfrac{7^2}{2^2}\implies A=\cfrac{49}{4}\implies A=12\frac{1}{4}

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Which expression represents the positive solution of x ^ 2 = 8?
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Answer:

x ^ 2 = 8

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5 0
3 years ago
The ratio of the lengths of two adjacent sides of a rectangle is 1/5. If it's perminiter is 24 then how wide is the rectangle
Mars2501 [29]

Width(w): 1x

Length (L): 5x

Perimeter = 2L + 2w

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