Question

find the radius of the circle if the circumference of the circle is equal to the perimeter of the square which is equal to 154 cm​

Answer 1

Step-by-step explanation:

Circumference of circle = 2πr = 154 cm

154 = 2πr

154/2 = πr

77 = πr

77 = 22/7 × r

77 × 7 / 22 = r

24.5 = r

Therefore, radius of circle is 24.5 cm

May the answer helps you :)

Answer 2

Given :

Circumference of the circle, Perimeter of the square both are equal to 154.

To find :

The radius of the circle.

Step-by-step explanation:

• The radius of circle can be found by following these steps.
• It is given that circumference is 154 cm.
• Let the circumference of the circle be c, radius be r.
• Formula for circumference of the circle is

       $c=2\pi r$

• We know that c is 154.
• Substitute the values in the given equation.

       $154=2\pi r$

• Take the numerical to the other side.

       $r=\frac{154}{2\pi }$

• Replace the $\pi$ value by $\frac{22}{7}$

       $r=\frac{154}{2(\frac{22}{7}) }$

• Denominator of the denominator becomes numerator.

• So bring 7 to the numerator.

       $r=\frac{(154)(7)}{2(22)}$      

• Remove the brackets.

       $r=\frac{1078}{44}$    

• Divide the numbers.

       $r=24.5$

Final answer :

The radius of the circle is 24.5 cm