Question

the radius of circle s is 1 centimeters. what is the diameter 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 label | value | units radius of circle s | | centimeters diameter of circle s | | centimeters circumference of circle s | | centimeters area of circle s | | square centimeters area formulas: • parallelogram: ( a = bh ) • square: ( a = s^2 ) • triangle: ( a = \frac{1}{2}bh ) • trapezoid: ( a = \frac{1}{2}h(b_1 + b_2) ) • circle: ( a = pi r^2 )

Explanation:

Step1: Find the radius value

The radius of circle S is given as 1 centimeter. So the value for "Radius of Circle S" is 1.

Step2: Calculate the diameter

The formula for the diameter \( d \) of a circle is \( d = 2r \), where \( r \) is the radius. Substituting \( r = 1 \) cm, we get \( d = 2\times1 = 2 \) cm. So the value for "Diameter of Circle S" is 2.

Step3: Calculate the circumference

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \) (or \( C=\pi d \)). Using \( \pi\approx3.14 \) and \( r = 1 \) cm, we have \( C = 2\times3.14\times1 = 6.28 \) cm. So the value for "Circumference of Circle S" is 6.28.

Step4: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Using \( \pi\approx3.14 \) and \( r = 1 \) cm, we get \( A = 3.14\times1^{2}=3.14\times1 = 3.14 \) square centimeters. So the value for "Area of Circle S" is 3.14.

Now, filling the table:

Diagram Label	Value	Units
Diameter of Circle S	2	centimeters
Circumference of Circle S	6.28	centimeters
Area of Circle S	3.14	square centimeters

Answer:

• Radius of Circle S: 1 centimeters
• Diameter of Circle S: 2 centimeters
• Circumference of Circle S: 6.28 centimeters
• Area of Circle S: 3.14 square centimeters