A particular painting in a museum is in the shape of a circle. The curator is interestedin calculating the circumference of the painting, but all he knows is the area. Theformula to calculate the circumference, C, for a circle is C = 2/ AT , where A is the areaof the circle. What is the circumference of the painting if the area measures12257 in?
Accepted Solution
A:
The circumference of the painting is 392.5 inchesStep-by-step explanation:A particular painting in a museum is in the shape of a circleThe formula to calculate the circumference, C, for a circle is:[tex]C=2\sqrt{A\pi}[/tex] , where A is the area of the circleWe want to find the circumference of the circle To find the circumference of the circle:Use the the formula aboveSubstitute A by the area of the circleCalculate 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 inchesThe circumference of the painting is 392.5 inchesLearn more:You can learn more about the circles in brainly.com/question/8929610#LearnwithBrainly