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A circular mirror is surrounded by a square metal frame. The radius of the mirror is 3x. The side length of the metal frame is 15x. What is the area of the metal frame?

Answer :

sam4040

Answer:

[tex]Area\ of\ the\ metal\ frame=196.74x^2[/tex]

Step-by-step explanation:

[tex]Given,\\Radius\ of\ circle=3x\\\\Length\ of\ square=15x\\\\Then\\\\Area\ of\ square=side\times side\\\\Area\ of\ square=15x\times 15x\\\\Area\ of \ the\ square=225x^2\\\\ Area \ of\ circle=\pi \times (radius)^2\\\\Area \ of\ circle=\pi \times (3x)^2\\\\Area \ of\ circle=9x^2 \times \pi\\\\Area \ of\ circle=9x^2 \times 3.14\\\\Area \ of\ circle=28.26x^2\\\\[/tex][tex]Area\ of\ the\ metal\ frame=Area\ of\ square\ -Area\ of\ circle\\\\Area\ of\ the\ metal\ frame=225x^2-28.26x^2\\\\Area\ of\ the\ metal\ frame=196.74x^2[/tex]

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