(A) Perimeter of the rectangle $= 2 \times (8 + 7) = 2 \times 15 = 30 \, cm$.Perimeter of the square $= 2 \times 30 = 60 \, cm$.Side of the square $=

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(A) Perimeter of the rectangle $= 2 \times (8 + 7) = 2 \times 15 = 30 \, cm$.Perimeter of the square $= 2 \times 30 = 60 \, cm$.Side of the square $= 60 / 4 = 15 \, cm$.The diameter of the semicircle is equal to the side of the square,so $d = 15 \, cm$,which means the radius $r = 7.5 \, cm$.The circumference of a semicircle is given by the formula $C = \pi r + d$.$C = (22 / 7) \times 7.5 + 15$.$C = 23.5714 + 15 = 38.5714 \, cm$.Rounding to two decimal places,we get $38.57 \, cm$.

Competitive Quantitative Aptitude Mensuration Measurement of Area

Medium

The perimeter of a square is equal to twice the perimeter of a rectangle whose dimensions are: length $8 \, cm$ and breadth $7 \, cm$. What is the circumference of a semicircle whose diameter is equal to the side of the square? (in $cm$) (Rounded off to two decimal places)

A
$38.57$
B
$23.57$
C
$42.46$
D
$47.47$

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Measurement of Area

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The ratio of the area of a sector of a circle to the area of the circle is $1:4$. If the area of the circle is $154 \, cm^2$,the perimeter of the sector is ........ $cm$.

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The perimeter of a square is equal to twice the perimeter of a rectangle whose dimensions are: length $8 \, cm$ and breadth $7 \, cm$. What is the circumference of a semicircle whose diameter is equal to the side of the square? (in $cm$) (Rounded off to two decimal places)

Similar Questions

$2$ small circular parks of diameters $16 \ m$ and $12 \ m$ are to be replaced by a bigger circular park. What would be the radius of this new park,if the new park occupies the same space as the two small parks?

In the given figure, $ABCDEF$ is a regular hexagon whose side is $6\, cm$. $APF$, $QAB$, $DCR$, and $DES$ are equilateral triangles. What is the area (in $cm^2$) of the shaded region (in $\sqrt{3}$)?

$A$ silver wire when bent in the form of a square,encloses an area of $484 \, cm^{2}$. Now if the same wire is bent to form a circle,the area enclosed by the circle would be? (in $cm^{2}$)

Each side of a rhombus is $26 \ cm$ and one of its diagonals is $48 \ cm$ long. The area of the rhombus is (in $cm^2$)

The ratio of the area of a sector of a circle to the area of the circle is $1:4$. If the area of the circle is $154 \, cm^2$,the perimeter of the sector is ........ $cm$.

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