A trapezium of parellel sides 10cm and 21cm and height 8cm is inscribed in a circle of radius 7cm. calculate the area of the region not covered by the trapezium.

π =\(\frac{22}{7}\)

  • A 84cm\(^2\)
  • B 80cm\(^2\)
  • C 30cm\(^2\)
  • D 94cm\(^2\)
waec 2021mathematics

The correct answer is B. 80cm\(^2\)

Area of circle = Ï€r\(^2\) = \(\frac{22}{7}\) * 7\(^2\) = 154cm\(^2\)

Area o Trapezium = \(\frac{(a + b) h}{2}\) = \(\frac{(10 + 21)8}{2}\) = 124cm\(^2\)

Area of the region not covered = Area of (Circle - Trapezium)

= 154 - 124 

= 30cm\(^2\)

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