The figure shows a square ABCD with side 14 cm and a semicircle attached to the top side AB. Find the total area of the figure. (Take pi = 22/7)
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Worked Solution
Step 1: Find the area of the square.
Area of square = 14 x 14 = 196 cm2
Step 2: Find the radius of the semicircle.
The diameter equals side AB = 14 cm, so radius = 14 divided by 2 = 7 cm.
Step 3: Find the area of the semicircle.
Area of semicircle = 1/2 x pi x r x r
= 1/2 x (22/7) x 7 x 7
= 1/2 x (22/7) x 49
= 1/2 x 154
= 77 cm2
Step 4: Find the total area.
Total area = 196 + 77 = 273 cm2
Answer: 273 cm2
Correct answer: 273 cm2
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