Question

you are painting a circular table that has a diameter of 30 inches. find the approximate area. what is the approximate area of the table? you can use 3.14 as an approximation for π. a = π·15² the area of the table is about \boxed{} square inches.

Explanation:

Step1: Find the radius

The diameter of the circle is 30 inches, and the radius \( r \) is half of the diameter. So \( r=\frac{30}{2} = 15 \) inches.

Step2: Use the area formula for a circle

The formula for the area of a circle is \( A=\pi r^{2} \). We are given that \( \pi\approx3.14 \) and \( r = 15 \). Substitute these values into the formula: \( A=3.14\times15^{2} \).

Step3: Calculate \( 15^{2} \)

\( 15^{2}=15\times15 = 225 \).

Step4: Calculate the area

Multiply \( 3.14 \) by \( 225 \): \( 3.14\times225 = 706.5 \).

Answer:

706.5