(C) Circumference of the circle $= \pi \times \text{diameter} = \frac{22}{7} \times 56 = 176 \, cm$.Perimeter of the square $= 272 - 176 = 96 \, cm$.S

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(C) Circumference of the circle $= \pi \times \text{diameter} = \frac{22}{7} \times 56 = 176 \, cm$.Perimeter of the square $= 272 - 176 = 96 \, cm$.Side of the square $= \frac{96}{4} = 24 \, cm$.Area of the square $= 24 \times 24 = 576 \, cm^2$.Radius of the circle $= \frac{56}{2} = 28 \, cm$.Area of the circle $= \pi r^2 = \frac{22}{7} \times 28 \times 28 = 2464 \, cm^2$.Required sum of areas $= 576 + 2464 = 3040 \, cm^2$.

Competitive Quantitative Aptitude Mensuration Measurement of Area

Medium

The sum of the circumference of a circle and the perimeter of a square is equal to $272 \, cm$. The diameter of the circle is $56 \, cm$. What is the sum of the areas of the circle and the square? (in $cm^2$)

A
$2464$
B
$2644$
C
$3040$
D
Cannot be determined

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The sum of the circumference of a circle and the perimeter of a square is equal to $272 \, cm$. The diameter of the circle is $56 \, cm$. What is the sum of the areas of the circle and the square? (in $cm^2$)

Similar Questions

The radius of a circular wheel is $1 \frac{3}{4} \text{ m}$. How many revolutions will it make in travelling $11 \text{ km}$?

The perimeter of a square is double the perimeter of a rectangle. The area of the rectangle is $240 \, cm^2$. What is the area of the square? (in $cm^2$)

$A$ circular wire of length $168 \text{ cm}$ is cut and bent in the form of a rectangle whose sides are in the ratio of $5:7$. What is the length (in $\text{cm}$) of the diagonal of the rectangle?

What will be the area of a circle with circumference equal to $88\, cm$? (in $Sq\, cm$)

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