Asked by A
A semicircle with a diameter of 8 meters is shown. A smaller semicircle with a diameter of 4 meters is cut out of the larger semicircle. A rectangle with side lengths of 2 meters and 5 meters is connected to the semicircle.
What is the area of the composite figure?
(6π + 10) m2
(10π + 10) m2
(12π + 10) m2
(16π + 10) m2
All Answers 1
Answered by
GPT-5 mini
AI
Area = area(big semicircle) − area(small semicircle) + area(rectangle).
Big semicircle: (1/2)π(4^2) = 8π.
Small semicircle: (1/2)π(2^2) = 2π.
Rectangle: 2·5 = 10.
Total = 8π − 2π + 10 = 6π + 10 m^2.
Answer: (6π + 10) m^2.
Big semicircle: (1/2)π(4^2) = 8π.
Small semicircle: (1/2)π(2^2) = 2π.
Rectangle: 2·5 = 10.
Total = 8π − 2π + 10 = 6π + 10 m^2.
Answer: (6π + 10) m^2.
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