Yes, Shruti will gather the courage to speak to her father because she is committed to her group and promises her bandmates to raise the topic during dinner.
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Sides are 2x, 3x, 4x with sum 9x = 45, giving sides 10 cm, 15 cm, 20 cm. Semi-perimeter s = 22.5 cm. By Heron’s formula, area = √(22.5 x 12.5 x 7.5 x 2.5) = (75/4)√15 cm² (approx 72.62 ...
The base is 40 – (15 + 15) = 10 cm. Semi-perimeter s = 20 cm. By Heron’s formula, area = √(20 x (20 – 15) x (20 – 15) x (20 – 10)) = √(20 x 5 x 5 ...
Inscribed equilateral triangle side is a = r√3. Triangle area is (√3/4) x a² = (√3/4) x 3r² = (3√3/4)r². Dividing by circle area πr² yields ratio (3√3) / (4π) ≈ 0.413.
One blade cleans a sector of radius 28 cm and angle 120°: (120/360) x (22/7) x 28² = 2464/3 cm². With two blades, total cleaned area is 2 x (2464/3) = 4928/3 = 1642.67 cm².