Find the area of the shaded region.
1 answer:
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Answer:
The area of the sector is 84.8 in.² to the nearest tenth
Step-by-step explanation:
∵ the clock is a circle
∴ The measure of angles between each two hours = 360° ÷ 12 = 30°
∵ At 8 o'clock the hour hand pointed on 8 and the minute hand pointed on 12
∴ There are 4 angles between the two hands
∴ The central angle subtended by the arc = 4 × 30° = 120°
∵ The Area of the sector = where x is the central angle subtended by this arc
∴ Area sector = × π × (18/2)²
∴ Area sector = × π ×81 = 27π = 84.8 in² to the nearest tenth