Question

the center of a circle is located at 4,2 a point on the circle is located at 1 ,2 what is the approximate area of the circle

Answer 1

Answwer:

28.26 square units

Step-by-step explanation:

Given the center of a circle (4,2) and point on the circle at (1,2). The distance between the two points will be the radius of the circle as shown;

Let r be the radius of the circle;

`\begin{gathered} r\text{ = }\sqrt[]{(2-2)^2+(1-4)^2} \\ r=\text{ }\sqrt[]{0^2+(-3)^2} \\ r\text{ =}\sqrt[]{9} \\ r\text{ = 3units} \end{gathered}`

The area of the circle is expressed as;

`\begin{gathered} A\text{ = }\pi r^2 \\ A\text{ = 3.14}\cdot3^2 \\ A\text{ = 3.14}\cdot9 \\ A\text{ =}28.26\text{unit}^2 \end{gathered}`

Hence the approximate area of the circele is 28.26 square units