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A circular plane figure has a radius of 7 m. Find the area and circumference.

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JULIASLODAVAIN

[tex]\large\underline{\rm{PROBLEM}:}[/tex]

  • A circular plane figure has a radius of 7 m. Find the area and circumference.

[tex]\tt\color{red}{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]

[tex]\large\underline{\rm{ANSWERS}:}[/tex]

[tex]\sf{Circumference \: - }[/tex]

  • [tex]\large\bold{C \: = \: 43.96}[/tex]

[tex]\sf{Area \: - }[/tex]

  • [tex]\large\bold{A \: = \: 153.86m²}[/tex]

[tex]\tt\color{red}{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]

[tex]\large\underline{\rm{GIVEN}:}[/tex]

  • [tex]\small\bold{Radius(R) \: = \: 7m}[/tex]

  • [tex]\small\bold{Pi(π) \: = \: 3.14}[/tex]

[tex]\tt\color{red}{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]

[tex]\large\underline{\rm{FORMULAS}:}[/tex]

➢ To find the area and circumference, here's the formulas that we could use.

[tex]\sf{Circumference \: }[/tex]

  • [tex]\small\bold{C \: = \: π \: × \: d}[/tex]

[tex]\sf{Area \: }[/tex]

  • [tex]\small\bold{A \: = \: π \: × \: r²}[/tex]

[tex]\tt\color{red}{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]

[tex]\large\underline{\rm{SOLUTIONS}:}[/tex]

➢ In case of the circumference, you need to multiplying π times the diameter.

[tex]\sf{Circumference \: }[/tex]

  • [tex]\small\bold{C \: = \: π \: × \: d}[/tex]

  • [tex]\small\bold{C \: = \: \pi \: × \: 14m}[/tex]

  • [tex]\small\bold{C \: = \: 3.14\: × \: 14m}[/tex]

  • [tex]\small\bold\color{green}{C \: = \: 43.96}[/tex]

➢ To find the Area, you need to multiplying π times the radius squared.

[tex]\sf{Area \: }[/tex]

  • [tex]\small\bold{A \: = \: π \: × \: r²}[/tex]

  • [tex]\small\bold{A \: = \: \pi \: × \: 49 {m}^{2} }[/tex]

  • [tex]\small\bold{A \: = \: 3.14 \: × \: 49 {m}^{2} }[/tex]

  • [tex]\small\bold\color{green}{A \: = \: 153.96m²}[/tex]

⟹ Therefore, the circumference of the circle will be 43.96, and the Area will be 153.86 m².

[tex]\tt\color{red}{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]

[tex]\tiny\bold\color{olive}{{\tt{\colorbox{black}{CarryOnLearning:)}}}}[/tex]

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