The diameter of a recessed ring was measured by using two

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The diameter of a recessed ring was measured by using two spherical balls of diameter d₁ = 60 mm and d₂ = 40 mm as shown in the figure.

The distance H₁ = 35.55 mm and H₂ = 20.55 mm. The diameter (D, in mm) of the ring gauge is ________

1. 93 mm.
2. 23 mm.
3. 91 mm.
4. 83 mm.

Correct Option: A

D_ring = d₁sec	θ	+ 2(h₁ + r₁)tan	θ
	2		2

∴ θ = 60º = 4 × sec 30 + 2 (20.55 + 20) tan 30°
D_ring = 93 mm.