Question

you buy a circular mouse pad. the radius of the mouse pad is 3 inches. what is the diameter of the mouse pad? what is the circumference of the mouse pad? what is the area of the mouse pad? use the given information to complete the worksheet. use 3.14 as an approximation for π. diagram of circular mouse pad with labels p, a, d, a robot, and a table (diagram label, value, units) and 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 diameter

The diameter \( d \) of a circle is twice the radius \( r \), so \( d = 2r \). Given \( r = 3 \) inches, then \( d = 2\times3 = 6 \) inches.

Step2: Find the circumference

The formula for the circumference \( C \) of a circle is \( C = \pi d \) (or \( C = 2\pi r \)). Using \( d = 6 \) inches and \( \pi \approx 3.14 \), we get \( C = 3.14\times6 = 18.84 \) inches.

Step3: Find the area

The formula for the area \( A \) of a circle is \( A = \pi r^2 \). Given \( r = 3 \) inches and \( \pi \approx 3.14 \), we have \( A = 3.14\times3^2 = 3.14\times9 = 28.26 \) square inches.

Now, filling the worksheet:

Diagram Label	Value	Units
Diameter of the Mouse Pad	6	inches
Circumference of the Mouse Pad	18.84	inches
Area of the Mouse Pad	28.26	square inches

Answer:

• Radius of the Mouse Pad: 3 inches
• Diameter of the Mouse Pad: 6 inches
• Circumference of the Mouse Pad: 18.84 inches
• Area of the Mouse Pad: 28.26 square inches