Calculating Areas of Shaded Regions in Geometry

What is the formula to calculate the area of the shaded region when a square is inside a rectangle?

• Area of the square plus the area of the rectangle

• Area of the rectangle minus the area of the square

• Area of the rectangle plus the area of the square

• Area of the square minus the area of the rectangle

If the side length of a square is 5 inches and the dimensions of the rectangle are 8 by 10 inches, what is the area of the shaded region?

• 75 square inches

• 45 square inches

• 55 square inches

• 65 square inches

What is the formula to calculate the area of the shaded region when a circle is inside a square?

• Area of the square minus the area of the circle

• Area of the circle plus the area of the square

• Area of the circle minus the area of the square

• Area of the square plus the area of the circle

Given a square with side length 20 units and a circle with radius 8 units inside it, what is the area of the shaded region in decimal form?

• 198.9 square units

• 210.3 square units

• 200.5 square units

• 220.7 square units

How do you calculate the area of the shaded region when a smaller circle is inside a larger circle?

• Area of the smaller circle minus the area of the larger circle

• Area of the larger circle minus the area of the smaller circle

• Area of the smaller circle plus the area of the larger circle

• Area of the larger circle plus the area of the smaller circle

If the outer radius of a circle is 7 units and the inner radius is 4 units, what is the exact area of the shaded region?

• 33π square units

• 35π square units

• 39π square units

• 37π square units

What is the formula to calculate the area of the shaded region when a triangle is inside a circle?

• Area of the circle plus the area of the triangle

• Area of the circle minus the area of the triangle

• Area of the triangle minus the area of the circle

• Area of the triangle plus the area of the circle

Given a circle with radius 8 units and a right triangle inside it, what is the area of the shaded region in decimal form?

• 150.2 square units

• 175.3 square units

• 160.5 square units

• 169.1 square units

How do you calculate the area of the shaded region when a rhombus is inside a rectangle?

• Area of the rectangle minus the area of the rhombus

• Area of the rhombus plus the area of the rectangle

• Area of the rhombus minus the area of the rectangle

• Area of the rectangle plus the area of the rhombus

If the side of a rectangle is 8 units and the part of the rhombus is 5 units, what is the area of the shaded region?

• 22 square units

• 24 square units

• 26 square units

• 20 square units