Question

A circle of area 314 cm is inscribed in a square. What is the perimeter of the
(n=3.14)
square?
(1) 28 cm
12) 40 cm
(3) 80 cm
(4) 100 cm​

Answer 1

Step-by-step explanation:

area of circle=πr^2=314

3.14×r^2=314

r^2=100,r=10

if circle is inscribed in a square then side of square is equal to the diameter of circle a=2r

side (a)=2×10=20

perimeter of square =4a=4*20=80cm

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Answer 2

Step-by-step explanation:

Given : A circle of area 314 sq.cm is inscribed in a square.

To find : What is the perimeter of the square ?

Solution :

As circle is inscribed in a square.

Side of a square = Diameter of the circle

A circle of area 314 sq.cm.

i.e. 314=\pi r^2314=πr

2

314=3.14\times r^2314=3.14×r

2

r^2=\frac{314}{3.14}r

2

=

3.14

314

r^2=100r

2

=100

r=10r=10

The diameter is d=2r=2(10)=20d=2r=2(10)=20

The side of a square is 20 cm.

Perimeter of the square is P=4\times sideP=4×side

P=4\times 20P=4×20

P=80\ cmP=80 cm