Same pattern as Overlapping quadrant. New numbers, new story. Try each one on paper, then check the working below — or watch it drawn out, the same way the problem above is.
Question 1
The figure shows a metal grille pattern outside an HDB corridor, made of 3 identical small quarter circles and 3 identical big quarter circles. Its upper horizontal span is 66 cm. The upper row extends 6 cm farther than the lower row. Find the radius of each small quarter circle.
Work it out on paper, then check below. ▶ See the working
Question 2
Mrs Lim is designing a tray mat for the school canteen, made of 3 identical small quarter circles and 3 identical big quarter circles. Its upper horizontal span is 58 cm. The upper row extends 8 cm farther than the lower row. Find the radius of each small quarter circle.
Work it out on paper, then check below. ▶ See the working