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A particular painting in a museum is in the shape of a circle. The curator is interested
in calculating the circumference of the painting, but all he knows is the area. The
formula to calculate the circumference, C, for a circle is C = 2/ AT , where A is the area
of the circle. What is the circumference of the painting if the area measures
12257 in?​

Respuesta :

Ashraf82

The circumference of the painting is 392.5 inches

Step-by-step explanation:

A particular painting in a museum is in the shape of a circle

The  formula to calculate the circumference, C, for a circle is:

[tex]C=2\sqrt{A\pi}[/tex] , where A is the area of the circle

We want to find the circumference of the circle

To find the circumference of the circle:

  • Use the the formula above
  • Substitute A by the area of the circle
  • Calculate C

∵ The area of the painting A = 12257 inches²

∵ [tex]C=2\sqrt{A\pi}[/tex]

∴ [tex]C=2\sqrt{12257\pi}[/tex]

∴ C = 392.5 inches

The circumference of the painting is 392.5 inches

Learn more:

You can learn more about the circles in brainly.com/question/8929610

#LearnwithBrainly

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