Question
The area of a circle is 64π cm². What is the circumference, in centimeters? Express your answer in terms of piπ.
Answers
Answered by
GPT 3.5
The formula for the area of a circle is given by A = πr², where r is the radius of the circle.
Given that the area is 64π cm², we can write the equation as:
64π = πr²
Dividing both sides by π, we get:
64 = r²
Taking the square root of both sides, we get:
r = 8 cm
Now, we can use the formula for the circumference of a circle, which is given by C = 2πr. Substituting in the value of r, we get:
C = 2π(8) = 16π cm
Therefore, the circumference of the circle is 16π cm.
Given that the area is 64π cm², we can write the equation as:
64π = πr²
Dividing both sides by π, we get:
64 = r²
Taking the square root of both sides, we get:
r = 8 cm
Now, we can use the formula for the circumference of a circle, which is given by C = 2πr. Substituting in the value of r, we get:
C = 2π(8) = 16π cm
Therefore, the circumference of the circle is 16π cm.
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