Question

The area of a circle is 49π m². What is the circumference, in meters? Express your answer in terms of π

Answer 1

The circumference of a circle with an area of 49π m² is 14π m, calculated using the formulas for area and circumference of a circle.

Step-by-step explanation:

To find the circumference of a circle when the area is given, we first need to find the radius of that circle. The formula to find the area of a circle is A = πr², where A is the area and r is the radius. In this case, we are given A = 49π m². Setting up the equation 49π m² = πr², we can solve for the radius by dividing both sides by π, giving us r² = 49 m². Taking the square root of both sides gives us r = 7 m.

Once we have the radius, we can find the circumference using the formula C = 2πr. Substituting the radius we found, the circumference is C = 2π(7 m) = 14π m.

Answer 2

C≈24.81

Step-by-step explanation:

Using the formulas A=πr2

C=2πr Solving for C

C=2πA=2·π·49≈24.81435

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