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Rachel is making a circular tablecloth with a radius of 48dm. How many meters of materials will she need?​

Sagot :

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Answer:

[tex]\huge\blue{\underline{\pink{\mathscr{Problem}}}}[/tex]

Rachel is making a circular tablecloth with a radius of 48dm. How many meters of materials will she need?

[tex]\huge\color{violet}\frak{Solution}\downarrow[/tex]

Step 1: Enumerate the given values

Given

  • Radius - 48 dm

Step 2: Identify what is being asked

Required

  • How many meter of materials will Rachel need to make a circular tablecloth. (Area)

Step 3: Solve for Area

The formula for area of circle is expressed below:

[tex]\large\bold{A = πr²}[/tex]

Where,

  • π = 3.14
  • r = radius

Solving Area

[tex]\large\bold{A = πr²}[/tex]

[tex]\bold{A = (3.14)(48 \: dm) {}^{2} }[/tex]

[tex]\bold{A = (3.14)(2 \: 304 \: dm {}^{2} )}[/tex]

[tex]\bold{A = \boxed{\bold\red{7 \: 234.56 \: dm {}^{2}}} }[/tex]

[tex]\huge\mathbb\pink{A}\red{n}\blue{s}\green{w}\pink{e}{r}[/tex]

Therefore, Rachel needs 7 234.56 sq.dm of materials.

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