Question

The area of square is 9604 sq.Cm. The diameter of a circle is equal to half of the side of the square.What will be the circumference of the circle

Answer 1

Answer:

Given:

• Area of square = 9604cm²

• diameter of a circle is equal to half of the side of the square

To find:

•  the circumference of the circle

Formulas:

• Area of square = (side)²

• Circumference  = 2πr

Solving Question:

  We are given the area of square 9604cm² from that we can find the side.Since the diameter of the circle is half of the side we could find the answer

Solution:

Let the side of the square be 'a'

⇒$a^2=9604cm^2\\\\\implies a=\sqrt{9604cm^2}\\\\\implies a=98cm$

then to find diameter =  diameter of the circle is half of the side

⇒ 98/2 = 49cm

Radius = 49/2 = 24.5cm

circumference= $2*\pi *r\\\\\implies 2*\dfrac{22}{7}*24.5cm\\\\\implies \dfrac{1078}{7}\\\\\implies 154cm$

Circumference of the circle is 154cm