MCQ
In the given figure, the perimeter of $\text{ABCD}$ is
- ✓$44 \ cm$
- B$36 \ cm$
- C$40 \ cm$
- D$48 \ cm$
✓
Answer
Correct option: A.
$44 \ cm$
Explanation:
Since tangents from an external point to a circle are equal in length.
$\therefore A S=A P=6 \ cm $ and $ A B=6+7=13 \ cm$
$P B=B Q=7 \ cm $ and $ B C=7+5=12 \ cm$
$C Q=C R=5 \ cm$ and $ C D=5+4=9 \ cm$
$R D=S D=4 \ cm$ and $ A D=4+6=10 \ cm$
Therefore, perimeter of quadrilateral $\text{ABCD} =13+12+9+10=44 \ cm$
Since tangents from an external point to a circle are equal in length.
$\therefore A S=A P=6 \ cm $ and $ A B=6+7=13 \ cm$
$P B=B Q=7 \ cm $ and $ B C=7+5=12 \ cm$
$C Q=C R=5 \ cm$ and $ C D=5+4=9 \ cm$
$R D=S D=4 \ cm$ and $ A D=4+6=10 \ cm$
Therefore, perimeter of quadrilateral $\text{ABCD} =13+12+9+10=44 \ cm$
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