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WAEC Mathematics 2021 Paper

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Question : 30

Total: 49

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.

84cm $^2$
80cm $^2$
30cm $^2$
94cm $^2$

Solution:

Area of circle = πr $^2$ = $\;\frac{22}{7}$ * 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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