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Home » Radius of the inscribed circle is \( \frac122 = 6 \) cm. - Dyverse

Radius of the inscribed circle is \( \frac122 = 6 \) cm. - Dyverse

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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ight| \leq 1 \Rightarrow (3 - 2y)^2 \leq (y - 2)^2
Expand both sides:
- 12y + 4y^2 \leq y^2 - 4y + 4
4y^2 - 12y + 9 \leq y^2 - 4y + 4
3y^2 - 8y + 5 \leq 0
Solve quadratic: discriminant = \(64 - 60 = 4\), roots:
y = rac{8 \pm 2}{6} = rac{10}{6} = rac{5}{3},\quad rac{6}{6} = 1
So \(1 \leq y \leq rac{5}{3}\)
Check if all values are attainable: at \(\sin x = 1\), \(f = rac{2+3}...
oxed{\left[1,\ rac{5}{3}

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