1 Answer

Billb · Answer 1 · 2023-07-23T20:44:10+0000

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.

$\text{ C= 2}\pi r$

Step 2: Let's plug in the r = 0.5 inches in the formula to get the circumference.

$\text{ C= 2}\pi r$
$\text{ C= 2(3.14)}(0.5)$
$\text{ C= 3}.14\text{ inches}$

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.

$\text{ A = }\pi r^2$

Step 2: Let's plug in the r = 0.5 inches in the formula to get the area.

$\text{ A = }\pi r^2$
A=(3.14)(0.5)^2

$\text{ A = 0.785 in.}^2$

Therefore, the Area of the lid is 0.785 in.².

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