To find the radius and area of a circle, we need to use the given circumference and the value of pi. Let's break down the process step by step:


The circumference of a circle is given by the formula:
C = 2πr, where C represents the circumference and r represents the radius of the circle.

The area of a circle is given by the formula:
A = πr², where A represents the area and r represents the radius of the circle.


In this case, we are given that the circumference of the circle is 31.4 cm. We are also given that the value of pi is 3.14.


To find the radius, we rearrange the circumference formula to solve for r:
C = 2πr
Divide both sides of the equation by 2π:
r = C / (2π)

Substituting the given values into the formula:
r = 31.4 cm / (2 * 3.14)
r = 5 cm

Therefore, the radius of the circle is 5 cm.


Now that we know the radius, we can use it to find the area of the circle. Substitute the value of the radius into the area formula:
A = πr²
A = 3.14 * (5 cm)²
A = 3.14 * 25 cm²
A = 78.5 cm²

Therefore, the area of the circle is 78.5 cm².


To summarize, the given circumference of the circle was 31.4 cm. By using the formula for circumference and rearranging it to solve for the radius, we found that the radius of the circle is 5 cm. Using the radius, we then calculated the area of the circle to be 78.5 cm².

2πr = Circumference of a circle. Then. (π=3.14)
2×3.14×r=31.4
r=31.4/3.14×2
r = 5 cm. So radius = 5 cm
then area = πr²
=3.14×5² = 3.14×25
=78.5 cm². So radius is 5 and area is 78.5 cm².