Question

Timothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more than 23 inches. What is the smallest possible area of the tabletop that will fit on Timothy’s table base? Round the answer to the nearest whole square inch. square inches What is the largest possible area of the tabletop that will fit on Timothy’s table base? Round the answer to the nearest whole square inch. square inches

Answer 1

113 square inches

1,662 square inches

Step-by-step explanation: Have a good day :)

Answer 2

Answer: The smallest possible area of the tabletop=
`113\text{ square inches}`

The largest possible area of the tabletop =
`1662\text{ square inches}`

Explanation:

Given: The minimum radius of the tabletop = 6 inches

The maximum radius of the tabletop = 23 inches

We know that the area of circle is given by :-

`A=\pi r^2`, where r is the radius of the circle.

Now, the smallest possible area of the tabletop that will fit on Timothy’s table is given by :-

`A_s=(3.14159265359) (6)^2=113.097335529\approx113\text{ square inches}`

The largest possible area of the tabletop that will fit on Timothy’s table is given by :-

`A_s=(3.14159265359) (23)^2=1661.90251375\approx1662\text{ square inches}`