Question

Find the area of a circle whose circumference is 31.4 centimeters. Approximate Π as 3.14.

Answer 1

Answer:

Area of circle is 78.5 cm²

Step-by-step explanation:

Given: circumference is 31.4 centimeters

We have to find the area of circle.

We know Circumference = $2\pi r$

Also given circumference = 31.4

So, Substitute, to find the radius,

$31.4=2\pi r$

Divide both side by 2π, we have,

$\frac{31.4}{2\pi}=r$

Also, Area of circle = $\pi r^2$

Substitute, $\frac{31.4}{2\pi}=r$ , we have,

Area of circle = $\pi (\frac{31.4}{2\pi})^2$

Simplify, we get,

Area of circle = $\pi (\frac{15.7}{\pi})^2$

Area of circle = $(\frac{(15.7)^2}{\pi})$

Put π = 3.14 , we get,

Area of circle = 78.5  centimeter²

Thus, Area of circle is 78.5 cm²

Answer 2

Circumference = 2(3.14)r
31.4=2(3.14)(r)
Radius=5

Area=3.14(5^2)
A=78.5