Math, asked by sameerajdr, 1 month ago

The perimeter of a circle is 176 cm, find its radius​

Answers

Answered by Anonymous
22

Answer:

2 \: \pi \: r \:  = 176cm \\ \\ 2 \times  \frac{22}{7}  \times r = 176cm \\ \\=  \frac{44}{7} \:  \times  \: r  = 176 \\  \\ = 44 \:  \times  \: r \:  =  \: 176 \times 7 \\ \\  = 44 \times r = 1232 \\ \\ r =  \frac{1232}{44}  \\  \\ r = 28

Hope you understood

Answered by kailashmannem
27

 \huge{\bf{\green{\mathfrak{Question:-}}}}

 \bullet{\mapsto} The perimeter of a circle is 176 cm, find its radius.

 \huge {\bf{\orange{\mathfrak{Answer:-}}}}

 \bullet{\leadsto} \: \textsf{Perimeter of the circle = 176 cm.}

 \bullet{\leadsto} \: \textsf{We know that,}

 \bullet{\leadsto} \: \sf Circumference \: of \: a \: circle \: = \: 2 \pi r.

 \bullet{\leadsto} \: \sf 176 \: = \: 2 \pi r

 \bullet{\leadsto} \: \sf \dfrac{176}{2} \: = \: \pi r

 \bullet{\leadsto} \: \sf 88 \: = \: \dfrac{22}{7} \: * \: r

 \bullet{\leadsto} \: \sf 88 \: * \: \dfrac{7}{22} \: = \: r

 \bullet{\leadsto} \: \sf \dfrac{88 \: * \: 7}{22} \: = \: r

 \bullet{\leadsto} \: \sf 4 \: * \: 7 \: = \: r

 \bullet{\leadsto} \: \boxed{\sf r \: = \: 28 \: cm.}

 \huge{\bf{\red{\mathfrak{Conclusion:-}}}}

 \bullet{\mapsto} \: \boxed{\therefore{\sf r \: = \: 28 \: cm.}}

 \huge{\bf{\purple{\mathfrak{Note:-}}}}

 \bullet{\leadsto} Here, Perimeter or Circumference both mean the same for a circle.

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