A circular placemat has a diameter of 12 1/2 inches.

How many square inches of the table does the placemat cover? Round your answer to the nearest hundredth of a square inch.

Show your work.

Respuesta :

Answer:

122.72 in^2

Step-by-step explanation:

If the diameter is 12.5, then the radius is 6.25. Using the formula for area of a circle (pi*r^2), we plug in the radius. This gives us [(6.25)^2]*[tex]\pi[/tex]. Simplified, your answer is 122.72 square inches. :)

The square inches of the table that the placement covers to the nearest hundredth of a square inch is 22.77 in².

What area does the placemat cover?

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

  • π = pi = 22/7
  • R = radius = diameter / 2 = 12 1/2 ÷ 2 = 6 1/4

Area of a circle = 22/7 X (25/4)² = 122.77 in²

To learn more about the area of a circle, please check: https://brainly.com/question/14351152