The area of a square is twice the area of a circle. The area of the circle is $392 c m^{2}$ . What is the length of the side of the square?

28 cm

26 cm

24 cm

22 cm

Video Solution

Text Solution

Verified by Experts

The correct Answer is:A

$∵ Area of the square = 2 \times 392 = 784 s q . c m$
$∴ Length of the side of the square = \sqrt{784} = 28 c m$

Updated on:21/07/2023

Class 14 MATHS AREA

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Knowledge Check

Question 1 - Select One
The area of a square is twice the area of a rectangle. If the area of the square is 324 sq. cms and the length of the rectangle is 13.5 cms, what is the difference between the bredth of the rectangle and the side of the square ?
A8 cms
B10 cms
C12 cms
D6 cms
Question 1 - Select One
The area of a square is thrice the area or a rectangle. If the area of the square is 225 cm and the length of the rectangle is 15 cm. what is the difference between the breadth of the rectangle. and the side of the square ?
A8 cm
B10 cm
C12 cm
D16 cm
Question 1 - Select One
The area of a square is $\frac{16}{π}$ of the area of a circle. The ratio of the sides of the square to the diameter of the circle is
A $3 : 1$
B $2 : 1$
C $π : 1$
D $\sqrt{2} π : 1$
Question 1 - Select One
The area of square is $\frac{16}{π}$ of the area of circle . The ratio of the side of the square to the diameter of the circle is
A $3 : 1$
B $2 : 1$
C $π : 1$
D $\sqrt{2} π : 1$
Question 1 - Select One
The area of square is $\frac{16}{π}$ area of a circle. The ratio of the side of the square to the diameter of the circle is
A $3 : 1$
B $2 : 1$
C $π : 1$
D $\sqrt{2} π : 1$
Question 1 - Select One
The area of a rectangle is 4 times the area of a square. The length of the rectangle is 90 cm and the breadth of the rectangle is $2 / 3 r d$ of the side of the square. What is the side of the square?
A10 cm
B20 cm
C15 cm
DCouldn't be determined
Question 1 - Select One
The area of a rectangle is 4 times the area of a square .The length of the rectangle is 90 cm and the breadth of the rectangle is 2/3 of the square.What is the side of the square ?
A10 cm
B20 cm
C9 cm
DNone of these
Question 1 - Select One
The area of a square is equal to the area of a circle. What is the ratio between the side of the square and the radius of the circle?
A $\sqrt{π} : 1$
B $1 : \sqrt{3}$
C $1 : π$
D $π : 1$

The area of a square is twice the area of a circle. The area of the circle is $392 c m^{2}$ . What is the length of the side of the square?

The correct Answer is:A

$∵ Area of the square = 2 \times 392 = 784 s q . c m$
$∴ Length of the side of the square = \sqrt{784} = 28 c m$

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Knowledge Check

The area of a square is twice the area of a rectangle. If the area of the square is 324 sq. cms and the length of the rectangle is 13.5 cms, what is the difference between the bredth of the rectangle and the side of the square ?

The area of a square is thrice the area or a rectangle. If the area of the square is 225 cm and the length of the rectangle is 15 cm. what is the difference between the breadth of the rectangle. and the side of the square ?

The area of a square is $\frac{16}{π}$ of the area of a circle. The ratio of the sides of the square to the diameter of the circle is

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The area of square is $\frac{16}{π}$ area of a circle. The ratio of the side of the square to the diameter of the circle is

The area of a rectangle is 4 times the area of a square. The length of the rectangle is 90 cm and the breadth of the rectangle is $2 / 3 r d$ of the side of the square. What is the side of the square?

The area of a rectangle is 4 times the area of a square .The length of the rectangle is 90 cm and the breadth of the rectangle is 2/3 of the square.What is the side of the square ?

The area of a square is equal to the area of a circle. What is the ratio between the side of the square and the radius of the circle?

Similar Questions

IBPS & SBI PREVIOUS YEAR PAPER-AREA AND PERIMETER-MCQ

The area of a square is twice the area of a circle. The area of the circle is 392cm2. What is the length of the side of the square?

The correct Answer is:A

∵ Area of the square =2×392=784sq.cm ∴Length of the side of the square =√784=28cm

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The area of a square is twice the area of a rectangle. If the area of the square is 324 sq. cms and the length of the rectangle is 13.5 cms, what is the difference between the bredth of the rectangle and the side of the square ?

The area of a square is thrice the area or a rectangle. If the area of the square is 225 cm and the length of the rectangle is 15 cm. what is the difference between the breadth of the rectangle. and the side of the square ?

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The area of a rectangle is 4 times the area of a square .The length of the rectangle is 90 cm and the breadth of the rectangle is 2/3 of the square.What is the side of the square ?

The area of a square is equal to the area of a circle. What is the ratio between the side of the square and the radius of the circle?

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IBPS & SBI PREVIOUS YEAR PAPER-AREA AND PERIMETER-MCQ

The area of a square is twice the area of a circle. The area of the circle is $392 c m^{2}$ . What is the length of the side of the square?

$∵ Area of the square = 2 \times 392 = 784 s q . c m$
$∴ Length of the side of the square = \sqrt{784} = 28 c m$

The area of a square is $\frac{16}{π}$ of the area of a circle. The ratio of the sides of the square to the diameter of the circle is

The area of square is $\frac{16}{π}$ of the area of circle . The ratio of the side of the square to the diameter of the circle is

The area of square is $\frac{16}{π}$ area of a circle. The ratio of the side of the square to the diameter of the circle is

The area of a rectangle is 4 times the area of a square. The length of the rectangle is 90 cm and the breadth of the rectangle is $2 / 3 r d$ of the side of the square. What is the side of the square?