Area of Shaded Region with Circles

The figure shows two circles inside a trapezoid. Which procedure will help find the area of the shaded region?

• Find the area of the trapezoid and you have your answer.

• Add the area of the trapezoid and the area of both circles.

• Subtract the areas of both circles from the area of the trapezoid.

• Multiply the area of the trapezoid with the areas of both circles.

What is the area of the shaded region?

Note: the cut-out is a quarter of a circle

• 4.8 cm²

• 5.3 cm²

• 8.4 cm²

• 7.1 cm²

What is the area of the shaded region?

• 98.7 cm²

• 119.3 cm²

• 122.4 cm²

• 158.5 cm²

What is the area of the shaded region?

• 16 cm²

• 12.9 cm²

• 22.4 cm²

• 15.8 cm²

What is the area of the shaded region?

• 23.1 cm²

• 5.1 cm²

• 17.4 cm²

• 37.3 cm²

Find the area of the shaded region using the formulas.

• (4 x 8) + (3.14 x 1²)

• (3.14 x 1²) - (4 x 8)

• (4 x 8) - (3.14 x 2²)

• (4 x 8) - (3.14 x 1²)

Find the composite area.

• 72.12

• 146.24

• 96

• 121.12

The figure shows a circle inside a triangle.  Which equation could be used to find the area of the shaded region?

• = ½bh - 2πr

• = πr² - ½bh

• = ½bh - πd

• = ½bh - πr²

Which procedure should be used to find the area of the shaded region?

• Subtract the perimeter of the trapezoid from the area of both circles.

• Subtract the circumference of both circles from the area of the trapezoid.

• Subtract the area of the trapezoid from the area of both circles.

• Subtract the area of both circles from the area of the trapezoid.

What is the approximate area of the figure pictured?

• 3.53 cm²

• 7.07 cm²

• 5.30 cm²

• 21.20 cm²