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murzikaleks [220]
3 years ago
12

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 t

han 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.
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
3 0

Answer:

1,662  in²

=============================

Step-by-step 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

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