Answer:
40
Step-by-step explanation:
Answer:
○ ![\displaystyle 2\:units](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%5C%3Aunits)
Step-by-step explanation:
![\displaystyle \frac{24}{6} = \frac{6s^2}{6} \hookrightarrow \sqrt{4} = \sqrt{s^2} \\ \\ 2 = s](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B24%7D%7B6%7D%20%3D%20%5Cfrac%7B6s%5E2%7D%7B6%7D%20%5Chookrightarrow%20%5Csqrt%7B4%7D%20%3D%20%5Csqrt%7Bs%5E2%7D%20%5C%5C%20%5C%5C%202%20%3D%20s)
I am joyous to assist you at any time.
![\bold{\huge{\underline{ Solution }}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Chuge%7B%5Cunderline%7B%20Solution%20%7D%7D%7D)
<u>Before </u><u>answering </u><u>the </u><u>given </u><u>question</u><u>, </u><u>you </u><u>should </u><u>know </u><u>the </u><u>difference </u><u>between </u><u>polygon </u><u>and </u><u>regular </u><u>polygon</u><u>. </u>
- Polygon :- It is closed figure constitute of straight line having different measurements and also having varies angles.
- Regular polygon :- It is also a closed figure constitute of straight lines which having equal measuresment and all the angles of the given polygon are equal .
<u>There </u><u>are </u><u>different </u><u>types </u><u>of </u><u>polygon </u><u>based </u><u>on </u><u>the </u><u>sides </u><u>:</u><u>-</u>
- A polygon having 3 sided called triangle ,having 4 sides called quadrilateral ,having 5 sides pentagon and so on.
<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>
I have thought to make a 4 side polygon that is quadrilateral.
<u>Steps </u><u>of </u><u>construction </u><u>:</u><u>-</u><u> </u>
- Step - 1 :- Draw a 5 cm line AB horizontally
- Step - 2 :- Then , From a point B, Draw a Vertical line of 5 cm and named it BC
- Step - 3 :- Then, From a point C, Draw a horizontal line of 5 cm and named it CD
- Step - 4 :- Now, join the line AD
- Step - 5 :- Measure all the angles form by the 4 sides of the quadrilateral.
<u>Result </u><u>:</u><u>-</u><u> </u> All the angles are equal that is 90° each.
<u>Conclusion </u><u>:</u><u>-</u><u> </u> The above figure is square as it is having equal sides and angles.
<h3><u>Now</u><u>, </u><u>we </u><u>have </u><u>to </u><u>find </u><u>the </u><u>sum </u><u>of </u><u>the</u><u> </u><u>angles</u><u> </u><u>of </u><u>the </u><u>polygon </u><u>:</u><u>-</u></h3>
<u>Here</u><u>, </u><u> </u>
- All angles are equal in measure 90°
<u>Therefore</u><u>, </u>
The sum of the angles of the given polygon
![\sf{ = 90{\degree} + 90{\degree} + 90{\degree} + 90{\degree} }](https://tex.z-dn.net/?f=%5Csf%7B%20%3D%2090%7B%5Cdegree%7D%20%2B%2090%7B%5Cdegree%7D%20%2B%2090%7B%5Cdegree%7D%20%2B%2090%7B%5Cdegree%7D%20%7D)
![\sf{ = 180{\degree} + 90{\degree} + 90{\degree} }](https://tex.z-dn.net/?f=%5Csf%7B%20%3D%20180%7B%5Cdegree%7D%20%2B%2090%7B%5Cdegree%7D%20%2B%2090%7B%5Cdegree%7D%20%7D)
![\sf{ = 270{\degree} + 90{\degree} }](https://tex.z-dn.net/?f=%5Csf%7B%20%3D%20270%7B%5Cdegree%7D%20%2B%2090%7B%5Cdegree%7D%20%7D)
![\sf{ = 360{\degree} }](https://tex.z-dn.net/?f=%5Csf%7B%20%3D%20360%7B%5Cdegree%7D%20%7D)
Hence, The sum of the angles of the above polygon is 360° .
36(3.14) = 4/3 x 3.14 x r^3
113.04 = 4.187(r^3)
113.04/4.187 = r^3
26.997 = r^3
3√26.997 = r
r = ~3
Check: 3^3(
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
)(4/3) = 27(3.14)(4/3) = 113.04