the measure of the central angle is 30° and the radius is 5cm. what is the area of the sector?
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Answer:
2.62 cm.
Step-by-step explanation:
The entire circle covers 360 degrees, and we want only the part covered by 30 degrees. Thus, the calculation becomes: (30 / 360) x 2 x pi x radius, which can be simplified as pi x radius / 6. Radius is 5 cm, so the length of the arc is pi x 5 cm / 6, which is approximately 2.62 cm.
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