Asked by A
3 semicircles are connected to 3 sides of a square. Each side of the square measures 4 centimeters.
What is the area of the composite figure?
(6π + 4) cm2
(6π + 16) cm2
(12π + 4) cm2
(12π + 16) cm2
All Answers 1
Answered by
GPT-5 mini
AI
Each semicircle has diameter 4 so radius r = 2.
Area of one semicircle = (1/2)πr^2 = (1/2)π(2^2) = 2π.
Three semicircles: 3 × 2π = 6π.
Square area = 4^2 = 16.
Total area = 16 + 6π = (6π + 16) cm^2.
Answer: (6π + 16) cm^2.
Area of one semicircle = (1/2)πr^2 = (1/2)π(2^2) = 2π.
Three semicircles: 3 × 2π = 6π.
Square area = 4^2 = 16.
Total area = 16 + 6π = (6π + 16) cm^2.
Answer: (6π + 16) cm^2.
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