A student uses 3.14 for π to calculate the approximate circumference of a circle, 150.72 meters. Given this, find the approximate area of the circle. Use 3.14 for π.

area of a circle = 1808.64meters²

Step-by-step explanation:

given that,

π = 3.14

circumference = 150.72meters

calculate the area of the circle.

to calculate the circumference of a circle

recall,

circumference of a circle = 2πr

circumference of a circle = 2 x 3.14 x r

circumference of a circle = 6.28r

150.72meteras = 6.28r

divide both sides by 6.26

150.72meters/6.28 = 6.28r/6.28

24meters = radius

radius = 24 meters

now to calculate the area of the circle

recall the formulae for finding the area of a circle is given to be = πr²

area of a circle = πr²

area of a circle = 3.14 x (24) ²

area of a circle = 3.14 x 576meters²

area of a circle = 1808.64meters²