Find the area the sector.
1 answer:
Answer:
34π/3 (= 11.3 π ) mi²
Step-by-step explanation:
(see attached for reference)
area of sector is given by:
A = (θ/360) π r²
where
θ = angle of sector (given as 255°)
r = radius (given as 4 miles)
substituting the known values into the formula:
A = (θ/360) π r²
A = (255/360) π (4)²
A = (255/360) π (16)
A = 34π/3 mi²
A = 11.3 π mi²
edit: expressed answer in improper fraction form to match answer choices.
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