The diameter of the bottom of a lamp shade is twice the diameter of the top of the lamp shade. The top of the lamp shade has a 9-inch diameter. What’s the circumference of the bottom of the lamp shade? (Hint: Find the diameter of the bottom of the shade, then the circumference.)


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Answer:

see explanation

Step-by-step explanation:

The circumference (C) is calculated as

C = πd ← d is the diameter

diameter = 2 × 9 = 18 in ( twice the top diameter ), thus

C = 18π in ← exact value ≈ 56.55 in ( to 2 dec. places )

The circumference of the bottom of the lamp shade is 56.55 inches

What is circumference of circle?

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle.

The diameter of top of shade(d₁) = 9-inch

The diameter of bottom of shade(d₂) = 2(d₁) = 2(9) = 18 inch

The circumference (C) of bottom of shade :

C = πd₂ = π × 18

C = 18π ≈ 56.55 inches

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