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\(^2\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Area of circle = \pir\(^2\) = \(\frac{22}{7}\) * 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\(^2\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #61356)