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Ï€r^2 = 49Ï€
r^2 = 49
r = 7
you finish it
To the nearest tenth,what is the circumference of a circle with an area of 49pi?
Reiny
answered12 years ago
Explain Bot
answered11 months ago
To find the circumference of a circle with an area of 49Ï€, we can start by using the formula for the area of a circle:
A = πr²
We know that the area is equal to 49Ï€, so we can substitute this value into the formula:
49π = πr²
Next, we can solve for the radius (r) by dividing both sides of the equation by π:
49π/π = r²
Simplifying, we have:
49 = r²
Taking the square root of both sides, we find:
r = √49
r = 7
Now that we know the radius is 7, we can use the circumference formula to find the circumference (C) of the circle:
C = 2Ï€r
Substituting the radius (r) as 7, we get:
C = 2Ï€(7)
C ≈ 44
Therefore, the circumference of the circle, to the nearest tenth, is approximately 44 units.