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4 years ago

Find the length of the arc, s, intercepted by the given central angle, thetaθ, in a circle of radius, r. θ=30 rad; r=18 m.

Mathematics

1 answer:

Charra [1.4K]4 years ago

7 0

Answer:

540 m

Step-by-step explanation:

We are given that

Central angle, $\theta=30$ rad

Radius of circle=18 m

We have to find the length of the arc s.

We know that

Length of arc, $s=r\theta$

Using the formula then, we get

Length of arc, $s=18\times 30=540 m$

Hence, the length of arc=540 m

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The perimeter of a square: $P_S=4a$

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We have the area of a triangle: $A_T=16\sqrt3\ cm^2$

The formula of an area of an equilateral trinagle: $A_T=\dfrac{t^2\sqrt3}{4}$

Substitute:

$\dfrac{t^2\sqrt3}{4}=16\sqrt3$ <em>multiply both sides by 4</em>

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Substitute to the formula of a perimeter of a square:

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$a=6\ cm$

The formula of a diagonal of a square: $d=a\sqrt2$

Substitute:

$d=6\sqrt2\ cm$

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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timurjin [86]

Answer:

x = 45°

Step-by-step explanation:

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Learn more about vertically opposite angles: brainly.com/question/68367

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2 years ago

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Answer:

The formula: e7 = (b7*d7)+(c7*d7*1.5)

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Given:

Hours worked = b7

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Salary calculation = e7

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Formula

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3 years ago

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Answer:

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Empirical probability is data collected from experiment and real-life situation.

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I hope this helps you! Let me know if my answer is wrong or not.

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2 years ago

Find the length of the​ arc, s, intercepted by the given central​ angle, thetaθ​, in a circle of​ radius, r. θ=30 ​rad; r=18 m.

Find the length of the arc, s, intercepted by the given central angle, thetaθ, in a circle of radius, r. θ=30 rad; r=18 m.