Question

A yurt, or circular tent, has a radius of 3 meters.

What is the area of the floor of the yurt?

Answer 1

Given

$\bold { Radius \ of \ the \ tent} = 3 \ m$

Area of the floor = Area of the circular tent

Area of the circle = πr²

$\implies \pi x^{2} \\\implies 3.14 * 3 * 3 \\\implies \underline{\underline{ 28.26 \ m^{2} }}}$

$\boxed{\boxed{\bold{Therefore, \ Area \ of \ the \ floor \ is \ 28.26 \ m^{2} }}}}$

SOMETHING YOU NEED TO KNOW

1. Area of a circle = πr²

2. Perimeter of a circle = 2πr

                                                       

Answer 2

Answer:

⋆ DIAGRAM :

$\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle*{1}}\put(29,26){\sf\large{3 m}}\end{picture}$

$\rule{160}{1}$

$\underline{\bigstar\:\:\textsf{According to the Question :}}$

$\dashrightarrow\tt\:\:Area_{yurt}=\pi (Radius)^2\\\\\\\dashrightarrow\tt\:\:Area_{yurt} = \dfrac{22}{7} \times (3\:m)^{2}\\\\\\\dashrightarrow\tt\:\:Area_{yurt} = \dfrac{22}{7} \times 9\:m^2\\\\\\\dashrightarrow\tt\:\:Area_{yurt} = \dfrac{198}{7}\\\\\\\dashrightarrow\tt\:\:\underline{\boxed{\textsf{\textbf{Area _{\textbf{yurt}} = 28.28 metre ^{\textbf2} }}}}$

⠀

$\therefore\:\underline{\textsf{Area of the floor of the yurt is \textbf{28.28 metre ^{\textbf2} }}}.$