A trapezium of parellel sides 10cm and 21cm and height 8cm is inscribed in a...
MATHEMATICS
WAEC 2021
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. 84cm2
- B. 80cm2
- C. 30cm2
- D. 94cm2
Correct Answer: C. 30cm2
Explanation
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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