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iragen [17]
3 years ago
10

Please help I need the answer right

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

B) 4 inches

Step-by-step explanation:

Since ABC is congruent to EFG then AB is congruent to EF, and BC is congruent to FG.

BC = 4 in

FG = 4 in

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Find the radius of a circle in which a central angle of StartFraction pi Over 7 EndFraction radian determines a sector of area 7
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Answer:

Step-by-step explanation:

The formula for determining the the area of a sector is expressed as

Area of Sector = θ/360 × πr²

Where

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π is a constant whose value is 3.14

r represents the radius of the circle.

From the information given,

The central angle is π/7 radian. Converting to degrees, it becomes

π/7 × 180/π = 180/7 = 25.714 degrees.

Area of sector = 77 square meters

Therefore

77 = 25.714/360 × 3.14 × r²

77 = 0.2243r²

r² = 77/0.2243 = 343.29

r = √343.29 = 18.53 meters

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