Question

1. the diameter of a circle is 18 inches. what is the approximate area of the circle in square feet? m 1.77 square feet p 7.07 square feet r 254.34 square feet s 1,017.36 square feet

Explanation:

Step1: Convert diameter to radius and units

The diameter $d = 18$ inches. The radius $r=\frac{d}{2}=\frac{18}{2}=9$ inches. Since 1 foot = 12 inches, $r = \frac{9}{12}=\frac{3}{4}$ feet.

Step2: Use the area - formula for a circle

The area formula of a circle is $A=\pi r^{2}$. Substitute $r = \frac{3}{4}$ into the formula: $A=\pi\times(\frac{3}{4})^{2}=\pi\times\frac{9}{16}$. Taking $\pi\approx3.14$, we have $A\approx3.14\times\frac{9}{16}=\frac{28.26}{16}\approx1.77$ square feet.

Answer:

M. 1.77 square feet