Given in the question:
a.) The lid of a water bottle is a circle with a radius of 0.5 inches.
A.) The circumference of the lid.
Step 1: Since the lid is a circle, let's recall the formula for finding the circumference at a given radius.
[tex]\text{ C= 2}\pi r[/tex]Step 2: Let's plug in the r = 0.5 inches in the formula to get the circumference.
[tex]\text{ C= 2}\pi r[/tex][tex]\text{ C= 2(3.14)}(0.5)[/tex][tex]\text{ C= 3}.14\text{ inches}[/tex]Therefore, the Circumference of the lid is 3.14 inches.
B.) The area of the lid.
Step 1: Let's recall the formula for finding the area of a circle at a given radius.
[tex]\text{ A = }\pi r^2[/tex]Step 2: Let's plug in the r = 0.5 inches in the formula to get the area.
[tex]\text{ A = }\pi r^2[/tex][tex]A=(3.14)(0.5)^2[/tex][tex]\text{ A = 0.785 in.}^2[/tex]Therefore, the Area of the lid is 0.785 in.².
