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3 years ago

Cuanto es la raíz cuadrada de 286

Mathematics

1 answer:

Elena-2011 [213]3 years ago

7 0

16.9115345253. Espero que esto ayude!

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What is the square root of 149 rounded to the nearest tenth?

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Give at least five problems solving about area of a sector of a circle.

Katyanochek1 [597]

See below for the examples of sectors and arcs of a circle

<h3>Area of sector of a circle</h3>

The area of a sector is calculated as:

$A = \frac{\theta}{360} * \pi r^2$ ---- when the angle is in degrees

$A = \frac{\theta}{2} *r^2$ ---- when the angle is in radians

Take for instance, we have the following problems involving sector areas

Calculate the area of a sector where the radius of the circle is 7, and

The central angle is 30 degrees
The central angle is π/12 rad
The central angle is 90 degrees
The central angle is π/4 rad
The central angle is 180 degrees

Using the above formulas, the sector areas are:

1. $A = \frac{30}{360}* \frac{22}{7} * 7^2 = 12.83$

2. $A = \frac{\pi}{12} * 7^2 = 12.83$

3. $A = \frac{90}{360}* \frac{22}{7} * 7^2 = 38.5$

4. $A = \frac{\pi}{2} * 7^2 = 38.5$

5. $A = \frac{180}{360}* \frac{22}{7} * 7^2 = 77$

<h3>Examples of arc length</h3>

The length of an arc is calculated as:

$L= \frac{\theta}{360} * 2\pi r$ ---- when the angle is in degrees

$L = r\theta$ ---- when the angle is in radians

Take for instance, we have the following problems involving arc lengths

Calculate the length of an arc where the radius of the circle is 7, and

The central angle is 30 degrees
The central angle is π/12 rad
The central angle is 90 degrees
The central angle is π/4 rad
The central angle is 180 degrees

Using the above formulas, the arc lengths are:

1. $L = \frac{30}{360}* 2 * \frac{22}{7} * 7 = 3.7$

2. $L = \frac{\pi}{12} * 7 = 3.7$

3. $L = \frac{90}{360}*2 * \frac{22}{7} * 7 = 11.0$

4. $L = \frac{\pi}{4} * 7 = 11$

5. $L = \frac{180}{360}*2 * \frac{22}{7} * 7 = 22$

<h3>Examples of the arcs of a circle</h3>

The examples include:

A parabolic path
Distance in a curve
Curved bridges
Pizza
Bows