Answer: 72.22 inches
Step-by-step explanation: To find the circumference of a circle, start with the formula for the circumference of a circle.
Circumference = 2πr
Notice that here we are given the diameter instead of the radius. Remember that the radius is equal to half of the diameter. So here, the radius will be equal to half of 23 inches or 11.5 inches.
So we can plug in 11.5 inches for r in the formula so we have (2)(π)(11.5 in.) which is equal to 23π inches.
Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.
So we have (23)(3.14) which is equal to 72.22 inches.
This means that the circumference of the circle is 72.22 inches.
It's important to understand that we could have also used the formula Circumference = πd since 2 times the radius is equal to the diameter.