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The diagram shows a rectangular cardboard from which a semi-circle is cut off. Calculate the...

Mathematics
WAEC 2010

The diagram shows a rectangular cardboard from which a semi-circle is cut off. Calculate the area of the remaining part

  • A. 44cm2
  • B. 99cm2
  • C. 154cm2
  • D. 165cm2
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Correct Answer: Option B
Explanation

Area of remaining = Area of the rectangle - Area of the semi-circle

22 x 8 - \(\frac{1}{2}\)x πr\(^2\)

Here r = \(\frac{14}{2}\)cm = 7cm

Area of remaining = 176 - \(\frac{1}{2}\) x \(\frac{22}{7}\) x 7 x 7

= 176 - 77

= 99cm\(^2\)


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