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 largest possible area of the tabletop that will fit on Timothy’s table base? Round the answer to the nearest whole square inch.

Answer 1

1,662 in²

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Explanation:

let the radius of the circular tabletop = r

The base can support a tabletop with a radius of at least 6 inches, but not more than 23 inches.

which mean r at least 6 in. and not more than 23 in.

∴ 6 ≤ r ≤ 23

Since the area of the circle = π * r²

So, the largest possible area of the tabletop will be for r = 23

So, the area = π * 23² = 1,661.9 in²

Round to the nearest whole square inch

So, The largest possible area of the tabletop is 1,662 in²