Question

4.4 circumference and area of a circle
jason is painting a large circle on a wall of his new apartment. the largest distance across the circle will be 8 feet. approximately how many square feet of wall with the circle cover?
square feet

Explanation:

Step1: Identify the radius

The largest distance across a circle is the diameter. Given $d = 8$ feet, and the radius $r=\frac{d}{2}$, so $r=\frac{8}{2}=4$ feet.

Step2: Calculate the area of the circle

The formula for the area of a circle is $A=\pi r^{2}$. Substitute $r = 4$ into the formula: $A=\pi\times4^{2}=16\pi$. Using an approximation of $\pi\approx3.14$, we have $A\approx16\times3.14 = 50.24$ square - feet.

Answer:

50.24