Square ABCD has a side of 14 cm. A circle is drawn with AB as its diameter. Find the area of the region inside the square but outside the circle. (Take π = 22/7)
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Worked Solution
Step 1: Find the radius.
Diameter = AB = 14 cm → radius = 14 ÷ 2 = 7 cm
Step 2: Find the area of the circle.
Area = π × r²
= 22/7 × 7 × 7
= 22/7 × 49
= 22 × 7
= 154 cm²
Step 3: Find the area of the square.
Area = 14 × 14 = 196 cm²
Step 4: Find the shaded area.
Shaded = 196 − 154 = 42 cm²
Correct answer: 42 cm²
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