Finding the Area of the Shaded Region

In this video, Mr. J explains how to find the area of a shaded region formed by a circle inside a square. The process involves calculating the area of the square using the formula for a square's area and the area of the circle using the formula for a circle's area. The shaded region's area is found by subtracting the circle's area from the square's area. The video provides step-by-step calculations and uses an approximate value for pi to find the final area of the shaded region.

What is the first step in finding the area of the shaded region?

• Calculate the area of the square.

• Multiply the areas of the circle and square.

• Calculate the area of the circle.

• Add the areas of the circle and square.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Which formula is used to find the area of a square?

• Area = pi * radius^2

• Area = length * width

• Area = 2 * (length + width)

• Area = side^2

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the side length of the square in the example?

• 12 meters

• 16 meters

• 10 meters

• 14 meters

Tags

CCSS.7.G.B.4

Which formula is used to find the area of a circle?

• Area = 2 * pi * radius

• Area = pi * radius^2

• Area = length * width

• Area = side^2

Tags

CCSS.7.G.B.4

What is the radius of the circle in the example?

• 4 meters

• 3 meters

• 2 meters

• 5 meters

Tags

CCSS.HSG.GMD.A.1

What approximate value is used for pi in the calculations?

• 3.00

• 3.75

• 3.14

• 3.50

Tags

CCSS.3.MD.C.7D

How do you find the area of the shaded region?

• Divide the area of the square by the area of the circle.

• Add the area of the circle to the area of the square.

• Subtract the area of the circle from the area of the square.

• Multiply the area of the circle by the area of the square.

Tags

CCSS.HSG.C.B.5

What is the approximate area of the shaded region?

• 93.76 square meters

• 80 square meters

• 90 square meters

• 100 square meters

Tags

CCSS.7.G.B.4

Why is the area of the circle considered an approximation?

• Because the circle is not centered.

• Because pi is an irrational number.

• Because the square is not perfect.

• Because the radius is not exact.

What is the final step in solving the problem?

• Recalculate the area of the square.

• Recalculate the area of the circle.

• Verify the subtraction of the circle's area from the square's area.

• Add the areas of the circle and square again.