Question

the diameter of circle k is 26 centimeters.
what is the radius of circle k? what is the circumference of circle k? what is the area of circle k?
use the given information to complete the worksheet. use 3.14 as an approximation for \\(\pi\\).
radius of circle k \tkl \t \tcentimeters
diameter of circle k \t \t \tcentimeters
circumference of circle k \t \t \tcentimeters
area of circle k \t \t \tsquare 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

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 26 \) cm, so \( r=\frac{d}{2}\).
\( r=\frac{26}{2}=13 \) cm.

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 \( d = 26 \) cm.
\( C = 3.14\times26 = 81.64 \) cm.

Step3: Find the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). We know \( r = 13 \) cm and \( \pi\approx3.14 \).
\( A = 3.14\times13^{2}=3.14\times169 = 530.66 \) square cm.

Filling the worksheet:

• Radius of Circle K: \( 13 \) centimeters (since \( KL \) is the radius, and we found \( r = 13 \))
• Diameter of Circle K: \( 26 \) centimeters (given)
• Circumference of Circle K: \( 81.64 \) centimeters (from Step 2)
• Area of Circle K: \( 530.66 \) square centimeters (from Step 3)

Answer:

• Radius of Circle K: \( 13 \) centimeters
• Diameter of Circle K: \( 26 \) centimeters
• Circumference of Circle K: \( 81.64 \) centimeters
• Area of Circle K: \( 530.66 \) square centimeters