A sector of a circle has a central angle of 80°. If the circle has a radius of 5.5 inches,what is the area of the sector? (pi = 3.14) *

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mathstudent55 mathstudent55 · Answer 1 · 2020-05-07T01:27:45+02:00

Answer:

[tex] area = 21.11 ~in.^2 [/tex]

Step-by-step explanation:

Area of sector of circle with central angle measuring n degrees and radius r:

[tex] area = \dfrac{n}{360^\circ}\pi r^2 [/tex]

[tex] area = \dfrac{80^\circ}{360^\circ} \times 3.14 \times (5.5~in)^2 [/tex]

[tex] area = 21.11 ~in.^2 [/tex]

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varshamittal029 varshamittal029 · Answer 2 · 2022-06-15T06:19:42+02:00

The area of the sector of the circle will be 21.12 inch².

The area of sector of circle central angle θ in degree and radius r will be represented as

A= (θ/360°)πr²

the sector has a central angle θ=80°

r=5.5 inches

substituting these values in above formula for the area of the sector of circle,

Area= A

= (θ/360°)πr²

= (80°/360°)π(5.5)²

=21.12 inch²

Therefore, the area of the sector will be 21.12 inch².

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