Final answer:
The radius of the circle is 3 cm and the circumference is approximately 18.85 cm.
Step-by-step explanation:
To find the radius of the circle, we can use the formula for the area of a circle:
A = πr^2, where A is the area and r is the radius.
Given that the area is 36 cm², we can rearrange the formula to solve for r:
36 = πr^2
r^2 = 36/π
r = sqrt(36/π)
r = 3 cm (rounded to the nearest whole number)
To find the circumference of the circle, we can use the formula:
C = 2πr, where C is the circumference and r is the radius.
Substituting the value of r (3 cm) into the formula, we get:
C = 2π(3)
C = 6π
C ≈ 18.85 cm (rounded to two decimal places)
Therefore, the radius of the circle is 3 cm and the circumference is approximately 18.85 cm.
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