Question

what is the area of a circle with a diameter of 16 yards? estimate the area to the hundredths place using 3.14 for π. (1 point) square yards check answer remaining attempts 3

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 16 \) yards, so \( r=\frac{d}{2}=\frac{16}{2}=8 \) yards.

Step2: Use the area formula

The formula for the area of a circle is \( A=\pi r^{2} \). Substitute \( r = 8 \) and \( \pi=3.14 \) into the formula. Then \( A = 3.14\times8^{2} \).
First, calculate \( 8^{2}=64 \).
Then, \( A=3.14\times64 \).
\( 3.14\times64=(3 + 0.14)\times64=3\times64+0.14\times64=192+8.96 = 200.96 \).

Answer:

\( 200.96 \)