for Sumi's shop
Area of Shaded Regions with Circles — Easy Worksheet 2
Grade 7 · MathSheets Name: ____________________ Date: __________
Find the area of the shaded part. Use π ≈ 3.14 and round to the nearest tenth when needed.
How to solve
Shaded area = area of the whole shape − area of the part cut out. Rectangle: l × w. Circle: 3.14 × r². A semicircle is half a circle. If you are given the diameter, halve it first to get the radius. Example: a 50 × 20 rectangle with a circle of radius 8 cut out → 50 × 20 − 3.14 × 8² = 1000 − 200.96 = 799.04 ≈ 799.
Example
A circle is cut out of a rectangle. Find the area of the shaded part in square centimeters.
Answer: 209.8
✓ Correct!
Not quite. The answer is
💡 How to solve: Area of Shaded Regions with Circles
Shaded area = area of the whole shape − area of the part cut out. Rectangle: l × w. Circle: 3.14 × r². A semicircle is half a circle. If you are given the diameter, halve it first to get the radius. Example: a 50 × 20 rectangle with a circle of radius 8 cut out → 50 × 20 − 3.14 × 8² = 1000 − 200.96 = 799.04 ≈ 799.
Try a similar one
A circle is cut out of a rectangle. Find the area of the shaded part in square feet.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Area of Shaded Regions with Circles
Shaded area = area of the whole shape − area of the part cut out. Rectangle: l × w. Circle: 3.14 × r². A semicircle is half a circle. If you are given the diameter, halve it first to get the radius. Example: a 50 × 20 rectangle with a circle of radius 8 cut out → 50 × 20 − 3.14 × 8² = 1000 − 200.96 = 799.04 ≈ 799.
Try a similar one
A circle is cut out of a rectangle. Find the area of the shaded part in square yards.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Area of Shaded Regions with Circles
Shaded area = area of the whole shape − area of the part cut out. Rectangle: l × w. Circle: 3.14 × r². A semicircle is half a circle. If you are given the diameter, halve it first to get the radius. Example: a 50 × 20 rectangle with a circle of radius 8 cut out → 50 × 20 − 3.14 × 8² = 1000 − 200.96 = 799.04 ≈ 799.
Try a similar one
A circle is cut out of a rectangle. Find the area of the shaded part in square inches.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Area of Shaded Regions with Circles
Shaded area = area of the whole shape − area of the part cut out. Rectangle: l × w. Circle: 3.14 × r². A semicircle is half a circle. If you are given the diameter, halve it first to get the radius. Example: a 50 × 20 rectangle with a circle of radius 8 cut out → 50 × 20 − 3.14 × 8² = 1000 − 200.96 = 799.04 ≈ 799.
Try a similar one
A circle is cut out of a rectangle. Find the area of the shaded part in square centimeters.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Area of Shaded Regions with Circles
Shaded area = area of the whole shape − area of the part cut out. Rectangle: l × w. Circle: 3.14 × r². A semicircle is half a circle. If you are given the diameter, halve it first to get the radius. Example: a 50 × 20 rectangle with a circle of radius 8 cut out → 50 × 20 − 3.14 × 8² = 1000 − 200.96 = 799.04 ≈ 799.
Try a similar one
A circle is cut out of a rectangle. Find the area of the shaded part in square centimeters.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Area of Shaded Regions with Circles
Shaded area = area of the whole shape − area of the part cut out. Rectangle: l × w. Circle: 3.14 × r². A semicircle is half a circle. If you are given the diameter, halve it first to get the radius. Example: a 50 × 20 rectangle with a circle of radius 8 cut out → 50 × 20 − 3.14 × 8² = 1000 − 200.96 = 799.04 ≈ 799.
Try a similar one
A circle is cut out of a rectangle. Find the area of the shaded part in square yards.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Area of Shaded Regions with Circles
Shaded area = area of the whole shape − area of the part cut out. Rectangle: l × w. Circle: 3.14 × r². A semicircle is half a circle. If you are given the diameter, halve it first to get the radius. Example: a 50 × 20 rectangle with a circle of radius 8 cut out → 50 × 20 − 3.14 × 8² = 1000 − 200.96 = 799.04 ≈ 799.
Try a similar one
A circle is cut out of a rectangle. Find the area of the shaded part in square inches.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Area of Shaded Regions with Circles
Shaded area = area of the whole shape − area of the part cut out. Rectangle: l × w. Circle: 3.14 × r². A semicircle is half a circle. If you are given the diameter, halve it first to get the radius. Example: a 50 × 20 rectangle with a circle of radius 8 cut out → 50 × 20 − 3.14 × 8² = 1000 − 200.96 = 799.04 ≈ 799.
Try a similar one
A circle is cut out of a rectangle. Find the area of the shaded part in square yards.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Log in to save your progress.
Area of Shaded Regions with Circles — Easy Worksheet 2
Find the area of the shaded part. Use π ≈ 3.14 and round to the nearest tenth when needed.