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andre [41]
3 years ago
13

Find the area of the sector of a circle with radius 2 inches formed by a central angle of 4.3 radians: (in square inches)

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0

Answer:

8.6 in²

Step-by-step explanation:

The area of the entire circle is A = πr², or A = π(2 in)².

This corresponds to a central angle of 2π radians, or 6.28 radians.

The area of the sector described above is just a certain fraction of that:

4.3 rad

-------------- * Area of circle = 0.685(4 * 3.14) = 8.6 in²

6.28 rad

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