Math, asked by amritraj98, 1 year ago

the area of a circle is 24.64 cm Square then find its circumference

Answers

Answered by aroramehak2005
10

Answer:


Step-by-step explanation:

Area of circle=24.64

22/7×r^2=2464/100

r^2=2464/100×7/22

r^2=784/100

r=28/10

r=2.8


Circumference = 2×22/7×28/10=17.6 cm


Answered by KingSrikar
6

Given Data :

  • Area of Circle = 24.64 cm²

To Find :

  • Radius of the Circle
  • Circumference of the Circle

Solution :

We know : Area of Circle = πr²

24.64 cm² = πr²

24.64 cm² = 22/7 × r²

24.64 cm² = 22r²/7

24.64 cm² × 7 = 22r²

172.48 cm² = 22r²

172.48/22 cm² = r²

7.84 cm² = r²

➠ r = √7.84 cm

➠ Radius = 2.8 cm

Also : Circumference of Circle = 2πr

Circumference of Circle = 2 × 22/7 × 2.8 cm

Circumference of Circle = 44/7 × 2.8 cm

Circumference of Circle = 44/1 × 0.4 cm

Circumference of Circle = 44 × 0.4 cm

➠ Circumference of Circle = 17.6 cm

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