The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 3 feet. Approximately, how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth.

7.1 feet^2

Step-by-step explanation:

The base is made of a circular shape, so to solve this question we need to know how to calculate the circle area. The formula for the circle area is π  * r^2 so we need to find the radius(r). Radius equal to half of the diameter and the diameter needed is 3 feet, then the area of the circle will be:

area = π  * r^2

area = 3.14 * (3/2 feet)^2

area = 7.065 feet^2 = 7.1 feet^2

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²