SSAT Math Question 180: Answer and Explanation

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Question: 180

14. The total area of the shaded part of the figure is

42314.png

  • A. 42303.png
  • B. 42292.png
  • C. 422821.png
  • D. 42270.png

Correct Answer: C

Explanation:

The correct answer is (C). Subtract the area of the circle from the area of the square to find the area of just the shaded part.

Note that the diameter of the circle equals the width of the square.

Area of square = s2 = 4 sq. in.

Area of circle = πr2 = π(1)2 = π sq. in.

Area of square - Area of circle

= 4 sq. in. - 44785.png sq. in.

= 44773.png sq. in., or 44763.png in.2

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