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Aleksandr [31]
3 years ago
14

A school track is shown.

Mathematics
2 answers:
aliina [53]3 years ago
8 0

Answer:

Hey There!

Given that:

<em><u>There</u></em><em><u> </u></em><em><u>are </u></em><em><u>2</u></em><em><u> </u></em><em><u>semicircles</u></em><em><u> </u></em><em><u>of </u></em><em><u>the </u></em><em><u>same </u></em><em><u>radius</u></em><em><u> </u></em><em><u>i.e </u></em><em><u>a </u></em><em><u>circle</u></em>

<em><u>and </u></em><em><u>a </u></em><em><u>Rectangle</u></em>

To find:

<em><u>The </u></em><em><u>perimeter</u></em><em><u> </u></em><em><u>i.e </u></em><em><u>the </u></em><em><u>sum </u></em><em><u>of </u></em><em><u>the </u></em><em><u>circumference</u></em><em><u> </u></em><em><u>of </u></em><em><u>the </u></em><em><u>circle </u></em><em><u>+</u></em><em><u> </u></em><em><u>the </u></em><em><u>perimeter</u></em><em><u> </u></em><em><u>of </u></em><em><u>the </u></em><em><u>rectangle</u></em>

<h2><em><u>\huge\colorbox{pink}{s}olution =  ></u></em></h2><h2><em><u>2</u></em><em><u>π</u></em><em><u>r</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>2</u></em><em><u>(</u></em><em><u>l+</u></em><em><u>w)</u></em></h2>

<em><u>where</u></em>

  • <em><u>π </u></em><em><u>=</u></em><em><u>3</u></em><em><u> </u></em><em><u>.</u></em><em><u>1</u></em><em><u>4</u></em>
  • <em><u>r=</u></em><em><u>7</u></em><em><u>4</u></em><em><u>/</u></em><em><u>2</u></em><em><u>=</u></em><em><u>3</u></em><em><u>7</u></em><em><u>m</u></em>
  • <em><u>l=</u></em><em><u> </u></em><em><u>1000</u></em><em><u>m</u></em>
  • <em><u>w=</u></em><em><u> </u></em><em><u>7</u></em><em><u>4</u></em><em><u>m</u></em>
<h2><em><u>=</u></em><em><u>></u></em></h2><h2><em><u>2</u></em><em><u> </u></em><em><u>x </u></em><em><u>3</u></em><em><u>.</u></em><em><u>1</u></em><em><u>4</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>37 </u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>2</u></em><em><u>(</u></em><em><u>1000</u></em><em><u>+</u></em><em><u>7</u></em><em><u>4</u></em><em><u>)</u></em></h2><h2><em><u>=</u></em><em><u>></u></em><em><u>2</u></em><em><u>3</u></em><em><u>2</u></em><em><u>.</u></em><em><u>3</u></em><em><u>6</u></em><em><u> </u></em><em><u>+</u></em><em><u>2</u></em><em><u>1</u></em><em><u>4</u></em><em><u>8</u></em></h2><h2><em><u>=</u></em><em><u>></u></em><em><u>2</u></em><em><u>,</u></em><em><u>3</u></em><em><u>8</u></em><em><u>0</u></em><em><u>.</u></em><em><u>3</u></em><em><u>6</u></em><em><u> </u></em><em><u>m</u></em></h2>
ella [17]3 years ago
4 0

Answer:

2232.36m

Explanation:

since the perimeter of two semicircles adds up to that of one circle, the perimeter of the track would be the perimeter of the circle + the length of the rectangle.

we can find the perimeter of the circle using the formula of π × diameter, which would be:

π × diameter

= 3.14 × 74

= 232.36

now, we can add this to the given length of the rectangle:

232.36 + 1000 + 1000 = 2232.36

thus, the perimeter of the track is <u>2232.36m</u>.

i hope this helps! :D

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