Question

find the area and the circumference of a circle with diameter 9 m. use the value 3.14 for π, and do not round your answers. be sure to include the correct units in your answers. area: circumference:

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of the diameter \( d \). Given \( d = 9m \), so \( r=\frac{d}{2}=\frac{9}{2}m \).

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( \pi = 3.14 \) and \( r=\frac{9}{2} \) into the formula:

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Step3: Calculate the circumference

The formula for the circumference \( C \) of a circle is \( C = 2\pi r\) or \( C=\pi d \). Using \( C=\pi d \) with \( \pi = 3.14 \) and \( d = 9 \):

$$ C=3.14\times9 = 28.26m $$

Answer:

Area: \( 63.585m^{2} \)
Circumference: \( 28.26m \)