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Home » Radius of the circle: \( \frac102 = 5 \) cm. - Dyverse

Radius of the circle: \( \frac102 = 5 \) cm. - Dyverse

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Using \( s = ut + \frac{1}{2}at^2 \), with \( u = 0 \), \( v = at = 30 \), so \( a = 3 \, \text{m/s}^2 \), and \( t = 10 \):

📌 s = 0 + \frac{1}{2}(3)(10)^2 = \frac{1}{2} \cdot 3 \cdot 100 = 150 \, \text{m}

📌 The distance traveled is 150 meters.

📌 A circle has circumference \( 20\pi \) cm. Find the area of a sector with central angle \( 72^\circ \).

📌 First, find radius: \( C = 2\pi r = 20\pi \implies r = 10 \, \text{cm} \).

📌 Sector area: \( \frac{\theta}{360} \cdot \pi r^2 = \frac{72}{360} \cdot \pi \cdot 100 = \frac{1}{5} \cdot 100\pi = 20\pi \, \text{cm}^2 \).

📌 The area of the sector is

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