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# The diagram shows a rectangular cardboard from which a semi-circle is cut off. C...

### Question

The diagram shows a rectangular cardboard from which a semi-circle is cut off. Calculate the area of the remaining part.

A) 44cm2

B) 99cm2

C) 154cm2

D) 165cm2

### Explanation:

Area of remaining = Area of rectangle = Area of semi-circle

22 x 8 - $$\frac{1}{2}$$xar2

ehere r - $$\frac{14}{2}$$cm = 7cm

Area of remaining = 176 - $$\frac{1}{2}$$ x $$\frac{22}{4}$$ x 7 x 7

= 176 - 77

= 99cm2

## Dicussion (1)

• Area of remaining = Area of rectangle = Area of semi-circle

22 x 8 - $$\frac{1}{2}$$xar2

ehere r - $$\frac{14}{2}$$cm = 7cm

Area of remaining = 176 - $$\frac{1}{2}$$ x $$\frac{22}{4}$$ x 7 x 7

= 176 - 77

= 99cm2