Math, asked by shatrughansingh6600, 3 months ago

if a Ribbon of length 88 cm is shaped into a circle . Find the radius and area of circle . ​

Answers

Answered by nkajla
0

Step-by-step explanation:

44 is a redius of h circle and 1936pai

Answered by PharohX
1

Answer:

GIVEN :-

  • Length of ribbon is 88 cm

TO FIND :-

  • Radius and area of circle.

SOLUTION :-

 \sf \: Let  \:  \: the \:  \:  radius \:  \:  of \:  \:  circle \:  \:  is \:  \: r  \:  \: cm</p><p>

 \sf \: We  \: know  \: that  \: total  \: length \:  is \:  know \:  as  \: perimeter

 \sf \: So  \:  \: perimeter  \: of \:  circle  \: is  \: called \: circumference

 \sf \: Circumference  \: of  \: circle = 2\pi r

 \sf \: Here \:  given  \: Circumference  \: = length  \: of  \: ribbion \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \sf \:  \: = 88 \: cm</p><p>

 \sf \implies \: 2\pi r = 88

 \sf \implies \: 2 \times  \frac{22}{7}  \times r = 88 \\

  \sf \implies \: r =  \frac{88 \times 7}{2 \times 22}  \\

 \sf \implies \: r = 14 \: cm

 \sf \: Now \:  area  \: of \:  circle =  {\pi}r^{2}

 \sf \:  \:  \:  =  \frac{22}{7} ( {14)}^{2}  \\

 \sf \:  = 22 \times 2 \times 14

 \sf \:  \:  \:  = 616 \:  \:  \:  {cm}^{2}

Radius is 14 cm and Area is 616 sq cm

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