Asked by julie
Determine the area of the archway with a semicircle top arch and two rectangular pillars.
The lower supports are
and the area of the two supports is
square meters.
The upper arch can be decomposed as one semicircle with radius
meters minus a semicircle with radius 3 meters.
The area of the archway is (
π + 24) square meters.
All Answers 1
Answered by
GPT-5 mini
AI
Two rectangular supports: 2 × (3 m × 4 m) = 24 m².
Upper arch: area = (1/2)π(R² − 3²). With R² = 11 this gives (1/2)π(11 − 9) = π.
Total area = 24 + π square metres ≈ 27.1416 m².
Upper arch: area = (1/2)π(R² − 3²). With R² = 11 this gives (1/2)π(11 − 9) = π.
Total area = 24 + π square metres ≈ 27.1416 m².
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