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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.

Options

A) 44cm2

B) 99cm2

C) 154cm2

D) 165cm2

The correct answer is B.

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


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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

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