Question

you are painting a circular table that has a diameter of 30 inches. find the approximate area. write an equation that would help you find the area of the table.

Explanation:

Step1: Find the radius

The diameter \( d = 30 \) inches, so the radius \( r=\frac{d}{2}=\frac{30}{2} = 15 \) inches.

Step2: Recall the area formula for a circle

The area \( A \) of a circle is given by the formula \( A=\pi r^{2} \).

Step3: Substitute the radius into the formula

Substitute \( r = 15 \) into the formula, we get \( A=\pi\times15^{2}\) or \( A=\pi\cdot15^{2}\) (using the given tiles, we can form \( A=\pi\cdot15^{2} \)). If we calculate the numerical value, \( A=\pi\times225\approx 3.14\times225 = 706.5 \) square inches. But the question first asks to write the equation, so the equation is \( A=\pi\times15^{2}\) (or using the tiles as \( A=\pi\cdot15^{2} \)).

Answer:

The equation to find the area is \( A=\pi\times15^{2} \) (or \( A = \pi\cdot15^{2} \)) and the approximate area is \( 706.5 \) square inches (if we use \( \pi\approx3.14 \), \( 15^{2}=225 \), \( 3.14\times225 = 706.5 \)). For the equation using the given tiles, we can write \( A=\pi\cdot15^{2} \) (using the tiles \( \pi \), \( \cdot \), \( 15^{2} \)).