Question

Describe the relationship between the area of a circle and its circumstances

Answer 1

Answer:

$A = \frac{r}{2}C$

Step-by-step explanation:

Given

Shape: Circle

Required

The area and the circumference (relationship)

This implies that, we write an expression that relates the area and the circumference.

Circumference is calculated as:

$C = 2\pi r$

Area is calculated as:

$A = \pi r^2$

The area can be rewritten as:

$A = \frac{2\pi r^2}{2}$

Further rewrite as:

$A = \frac{r}{2}*2\pi r$

Recall that:$C = 2\pi r$

So, the expression becomes

$A = \frac{r}{2}*C$

$A = \frac{r}{2}C$