Question

Cool Down---7.3 Lesson 4 Applying Circumference (7.G.B.4) Problem 1: Part A Circle A has a diameter of 9 cm. Circle B has a radius of 5 cm. Which circle has the larger circumference? Problem 1: Part B About how many centimeters larger is it? Round to the nearest hundredth. Do not include units (cm) in your answer. Problem 1 Part B About how many centimeters larger is it? Round to the nearest hundredth. Do not include units (cm) in your answer.

Answer 1

Circle B has a larger circumference compared to Circle A. Circle B is approximately 3.15 centimeters larger than Circle A.

Step-by-step explanation:

The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius of the circle. Circle A has a diameter of 9 cm, so its radius is 4.5 cm. Circle B has a radius of 5 cm.

To determine which circle has a larger circumference, we can substitute the values of the radius into the formula:

CA = 2π(4.5) ≈ 28.27 cm

CB = 2π(5) ≈ 31.42 cm

Therefore, Circle B has the larger circumference.

To find out how many centimeters larger it is, we can subtract the circumference of Circle A from the circumference of Circle B:

Difference = CB - CA ≈ 31.42 - 28.27 ≈ 3.15 cm

Rounded to the nearest hundredth, Circle B is approximately 3.15 centimeters larger than Circle A.