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Mensuration — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSMensuration1 Mark
MCQ
A greeting card is of rectangular shape, having the top as a semi-circle. The total length of the card (including the top part) is $20$ inches. The width of the card is $14$ inches. Find the total area of the card.
  • A
    $350$ inches$^2$
  • B
    $357$ inches
  • C
    $375$ inches$^2$
  • ✓
    $357$ inches$^2$
✓

Answer

Correct option: D.
$357$ inches$^2$
D.  $357$ inches$^2$
Solution:
We know that, Area of rectangle $=$ length $\times$ breath $=1 \times b$
Here, $1=20$ inches
$b=14$ inches
Putting the values,
Area of rectangular portion $=280$ inches $^2$..
Also, we know that, Area of a circle $=\pi r ^2$
Here, $r =\frac{14}{2}=7$ inches
Putting the values, we' II get
Area of semicircular portion $=\frac{\pi \times(7)^2}{2}=\frac{22}{7} \times \frac{1}{2} \times 7 \times 7$
$A=11 \times 7$
$A=77$ inches $^2$
Adding (i) and (ii), we'll get
Total area $=280+77=357$ inches $^2$

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