Understanding Areas of Shaded Regions

The video tutorial explains how to find the area of a red shaded region that is inside a square and outside a circle. The square has dimensions of 6x6, and the circle has a radius of 6. The tutorial uses the formulas for the area of a square and a circle to calculate the area of the shaded region. The area of the shaded region is determined by subtracting one-fourth of the circle's area from the square's area. The final result is an exact area of 36 - 9π square units, with a decimal approximation of 7.7257 square units.

What is the shape of the region where the red shaded area is located?

• Inside a triangle and outside a square

• Inside a square and outside a circle

• Inside a circle and outside a square

• Inside a rectangle and outside a circle

What is the side length of the square mentioned in the problem?

• 6 units

• 5 units

• 4 units

• 7 units

How is the area of the shaded region calculated?

• By subtracting the area of the circle from the square

• By adding the area of the square and the circle

• By dividing the area of the square by the circle

• By multiplying the area of the square by the circle

What fraction of the circle's area is subtracted from the square's area?

• 1/2

• 1/3

• 1/4

• 1/5

What is the decimal approximation of the shaded area's exact value?

• 6.28 square units

• 9.42 square units

• 7.72 square units

• 8.14 square units