Question

use a two - dimensional model and the dimensions provided to calculate the circumference and area of the lid of the can. round to the nearest tenth, if necessary. 7.2 cm circumference = cm area =

Explanation:

Step1: Find the radius

The diameter $d = 7.2$ cm. The radius $r=\frac{d}{2}=\frac{7.2}{2}=3.6$ cm.

Step2: Calculate the circumference

The formula for the circumference of a circle is $C = 2\pi r$. Substitute $r = 3.6$ cm. So $C=2\times\pi\times3.6\approx2\times3.14\times3.6 = 22.6$ cm.

Step3: Calculate the area

The formula for the area of a circle is $A=\pi r^{2}$. Substitute $r = 3.6$ cm. So $A=\pi\times(3.6)^{2}\approx3.14\times3.6^{2}=3.14\times12.96 = 40.7$ cm².

Answer:

circumference = $22.6$ cm
area = $40.7$ cm²