Question

Find the perimeter of the adjoining figure, if semi-circle is drawn
on the side PS of the rectangle PQRS, taking PS as the diameter.​

Answer 1

$\huge{\mathcal{\blue{\underline{\underline{\pink{HeYa!!!}}}}}}$

${\huge{\purple{\mathbb{\bold{ANSWER}}}}}$

${\large{\blue{\bold{\underline{Given:-}}}}}$

▪︎PQ = RS = 9cm.

▪︎ QR = PS = 14cm

${\large{\blue{\bold{\underline{To\:Find:-}}}}}$

▪︎ Perimeter of the given figure.

${\large{\blue{\bold{\underline{Formulas\:Used:-}}}}}$

▪︎ Perimeter of rectangle

${\large{\red{\boxed{\bold{=\:2(L+B)}}}}}$

▪︎ Circumference of semi-circle

${\large{\red{\boxed{\bold{=\:pie×r}}}}}$

${\large{\blue{\bold{\underline{Now,}}}}}$

▪︎ Perimeter of the above rectangle whose length of one side is removed,

= 2(L+B) - L.

= 2L + 2B - L.

= L + 2B.

= 14cm + 2(9cm)

= 14cm + 18cm.

${\large{\green{\boxed{\bold{=\:32\:Cm.}}}}}$

▪︎ Circumference of the given semi-circle,

= pie × r.

= 22/7 × 14cm.

= 22 × 2cm.

${\large{\green{\boxed{\bold{=\:44\:Cm.}}}}}$

${\large{\blue{\bold{\underline{Therefore}}}}}$

▪︎ Perimeter of the given figure,

= 32cm + 44cm

${\large{\red{\boxed{\bold{=\:76\:Cm.}}}}}$

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Answer 2

Step-by-step explanation:

side name changed question same