Q. 254.6( 9 Votes )

# Sumit cut a wire into two equal parts. One part he bent in the form of square and other part bent in the form of circle. If the area of circle exceeds that of the square by 33 sq. cm. Let us write by calculating the original length of the wire.

It is given that the wire was cut into two equal parts which means perimeter of square and circle will be equal.

Perimeter of a square = 4× side

Circumference of a circle = 2π r

Let s be the side of the square and r be the radius of the circle.

According to the question,

4s = 2π r

2s = π r

..(1)

Also, it is given that the area of circle exceeds that of the square by 33 sq. cm.

Area of a circle = πr2

Area of a square = side× side

πr2= s2 + 33

From (1),

r = 7 cm

Circumference of a circle = 2π r

the wire was cut into two equal parts which means perimeter of square and circle will be equal.

Total length of wire = 44 + 44 = 88 cm

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Surface Area of Right Circular Cylinder49 mins
Surface Area of Right Circular Cylinder52 mins
Surface Area and Volume of Right Circular Cone37 mins
Surface Area and Volume of Right Circular Cylinders42 mins
Champ Quiz | Area of Triangle53 mins
Champ Quiz | Area of Parallelogram55 mins
Quiz | Area and Parallelogram46 mins
Quiz | Area of Parallelogram and Triangles43 mins
NCERT | Imp Qs on Area of Parallelogram And Triangles44 mins
Quiz | Surface Area & Volumes49 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses