To compare the circumferences of Circle A and Circle B, let's first calculate their circumferences:
Circle A:
Circumference = π * Diameter
= π * 9 cm (since the diameter is 9 cm)
= 9π cm
Circle B:
Circumference = 2 * π * Radius
= 2 * π * 5 cm (since the radius is 5 cm)
= 10π cm
Now, let's compare the circumferences:
Circle A has a circumference of 9π cm.
Circle B has a circumference of 10π cm.
Since 10π is greater than 9π, Circle B has the larger circumference.
To find out how many centimeters larger the circumference of Circle B is compared to Circle A, we subtract the circumference of Circle A from the circumference of Circle B:
Difference = Circumference of Circle B - Circumference of Circle A
= (10π cm) - (9π cm)
= π cm (since 10π - 9π = π)
So, the circumference of Circle B is π cm larger than the circumference of Circle A.
Approximately, π is about 3.14. So the difference is around 3.14 cm. Therefore, Circle B's circumference is about 3.14 cm larger than Circle A's circumference.
