Question

the diameter of circle s is 72 inches. what is the radius of circle s? what is the circumference of circle s? what is the area of circle s? use the given information to complete the worksheet. use 3.14 as an approximation for π. diagram of circle with center s and diameter tr table with diagram label (radius of circle s, diameter of circle s, circumference of circle s, area of circle s), value, units (inches, inches, inches, square inches) area formulas: • parallelogram: a = bh • square: a = s² • triangle: a = ½ bh • trapezoid: a = ½ h(b₁ + b₂) • circle: a = πr²

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 72 \) inches, so \( r=\frac{d}{2}\).
\( r=\frac{72}{2}=36 \) inches.

Step2: Find the circumference

The formula for the circumference \( C \) of a circle is \( C = \pi d \) (or \( C = 2\pi r \)). Using \( \pi\approx3.14 \) and \( d = 72 \) inches.
\( C = 3.14\times72 = 226.08 \) inches.

Step3: Find the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). We know \( r = 36 \) inches and \( \pi\approx3.14 \).
\( A = 3.14\times36^{2}=3.14\times1296 = 4069.44 \) square inches.

Filling the table:

• Radius of Circle S: Diagram Label (let's say \( r \)), Value \( 36 \), Units inches.
• Diameter of Circle S: Diagram Label (let's say \( d \)), Value \( 72 \), Units inches.
• Circumference of Circle S: Diagram Label (let's say \( C \)), Value \( 226.08 \), Units inches.
• Area of Circle S: Diagram Label (let's say \( A \)), Value \( 4069.44 \), Units square inches.

Answer:

• Radius of Circle S: 36 inches
• Diameter of Circle S: 72 inches
• Circumference of Circle S: 226.08 inches
• Area of Circle S: 4069.44 square inches

(For the table, you can fill the "Diagram Label" column with appropriate labels like \( r \), \( d \), \( C \), \( A \) respectively, and the "Value" column with the calculated values as above.)