Sabrina is ordering a custom circular glass table for her dining room. The tables are ordered based on the area of the tabletop, and the diameter of every tabletop is a whole number. She wants a table with enough room for at least 6 people and wants each person to have at least 5 feet of table edge space, so that it is not too crowded.
The minimum tabletop diameter Sabrina should order is
feet.
The minimum tabletop area of the table Sabrina should order is
square feet.
The minimum diameter Sabrina should order is 10 feet.
The minimum area Sabrina should order is 78.54 square feet.
Explanation:
- The circumference of a circle is calculated by 2πr, where r is the radius of the circle. Since Sabrina wants each person to have at least 5 feet of table edge space, the circumference should be at least 30 feet (6 people * 5 feet).
- Since the diameter is twice the radius, the minimum diameter Sabrina should order is 10 feet.
- The area of a circle is calculated by πr^2. So for a 10-foot diameter table, the radius would be 5 feet, making the minimum area of the table 78.54 square feet.