Question

a flat circular lid has a diameter of 38 cm. find its approximate area. write an equation that would help you find the area of the lid.

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is $A = \pi r^{2}$, where $r$ is the radius. Given the diameter $d = 38$ cm, the radius $r=\frac{d}{2}$.

Step2: Calculate the radius

$r=\frac{38}{2}=19$ cm.

Step3: Substitute the radius into the area - formula

$A=\pi\times(19)^{2}=\pi\times361$. Using an approximation of $\pi\approx3.14$, we have $A\approx3.14\times361 = 1133.54$ $cm^{2}$. The equation to find the area is $A=\pi\times19^{2}$.

Answer:

The equation to find the area is $A = \pi\times19^{2}$ and the approximate area is $1133.54$ $cm^{2}$