A square has a side of 14 cm. A circle is drawn inside the square so that it touches all four sides. Find the area of the shaded region between the square and the circle. (Use π = 22/7)
Show Worked Solution
Worked Solution
Step 1: Find the area of the square.
Area = 14 × 14 = 196 cm²
Step 2: Find the radius of the inscribed circle.
The circle touches all four sides, so diameter = side = 14 cm → radius = 7 cm
Step 3: Find the area of the circle.
Area = π × r² = (22/7) × 7 × 7 = (22/7) × 49 = 22 × 7 = 154 cm²
Step 4: Find the shaded region.
Shaded area = 196 − 154 = 42 cm²
Correct answer: 42 cm²
Want more questions like this? Superholic Lab has 10,000+ MOE-aligned questions with full worked solutions.
Start Free Trial — 7 Days Free