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2005 AMC 10B Problem 8

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2005 AMC 10B Problem 8AMC 10 Step by Step

Name: Date: September 13, 2026

Circles · difficulty 2 of 5 · about 2 min · position P1-10

An $8$ -foot by $10$ -foot bathroom floor is tiled with square tiles of size $1$ foot by $1$ foot. Each tile has a pattern consisting of four white quarter circles of radius $1/2$ foot centered at each corner of the tile. The remaining portion of the tile is shaded. How many square feet of the floor are shaded?

A)
$80-20\pi$
B)
$60-10\pi$
C)
$80-10\pi$
D)
$60+10\pi$
E)
$80+10\pi$

2005 AMC 10B Problem 8

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