What is the diameter of a circle with circumference 264 cm?
The formula for circumference of a circle is C = 2πr, where C is the circumference and r is the radius of the circle. Since we want to find the diameter, which is twice the radius, we can use the formula D = 2r.
We are given that the circumference is 264 cm, so we can plug that into the formula to get:
264 = 2πr
Divide both sides by 2π to isolate r:
r = 264/2π
Simplify:
r ≈ 42
Now we can use the formula for diameter to find the answer:
D = 2r = 2(42) = 84
Therefore, the diameter of the circle with circumference 264 cm is 84 cm.