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\(^2\)

Correct answer is B

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\(^2\)