Question

1. pierce draws a circle with a radius of 3 centimeters. gianna draws a circle with a radius that is twice as long as the radius of pierce’s circle. how will the circumference of gianna’s circle compare with the circumference of pierce’s circle? lesson 7 - 1 7.gr.1.3 the circumference of gianna’s circle is ______ times the circumference of pierce’s circle.

Explanation:

Step1: Recall circumference formula

The formula for the circumference of a circle is \( C = 2\pi r \), where \( r \) is the radius.

Step2: Find Pierce's circumference

Pierce's radius \( r_p = 3 \) cm. So his circumference \( C_p = 2\pi(3)=6\pi \) cm.

Step3: Find Gianna's radius

Gianna's radius \( r_g = 2\times r_p = 2\times3 = 6 \) cm.

Step4: Find Gianna's circumference

Gianna's circumference \( C_g = 2\pi(6)=12\pi \) cm.

Step5: Find the ratio

To find how many times Gianna's circumference is of Pierce's, we calculate \( \frac{C_g}{C_p}=\frac{12\pi}{6\pi}=2 \).

Answer:

2