Question

QuestionThe lid of a water bottle is a circle with a radius of 0.5 inches. Find a. The circumference of the lid. b. The area of the lid. Use 3.14 for pi.

Answer 1

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.