The diagram shows a rectangular cardboard from which a semi-circle is cut off. Calculate the area of the remaining part
Attached Figure / Diagram
A
44cm2
B
99cm2
C
154cm2
D
165cm2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Area of remaining = Area of the rectangle - Area of the semi-circle
22 x 8 - \(\frac{1}{2}\)x \pir\(^2\)
Here r = \(\frac{14}{2}\)cm = 7cm
Area of remaining = 176 - \(\frac{1}{2}\) x \(\frac{22}{7}\) x 7 x 7
= 176 - 77
= 99cm\(^2\)
Source: Myschool Past Questions Archive (Record #36620)