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-BARSIC- [3]
2 years ago
13

A circle with a radius of 61cm is made from a wire.The wire is used to make a sector with a radius of 88cm.What is the angle sub

tended by the sector?
Mathematics
1 answer:
olga55 [171]2 years ago
5 0
The circle has a radius of 61 cm, therefore its circumference is
C = 2π*61 = 122π cm

If the wire forms  sector with a radius of 88 cm (as shown in the figure), then the length of the circular sector is
S = 122π - 2*88 = 207.2743 cm

Because the central angle is θ radians, therefore
88*θ = 207.2743
θ = 2.3554 radians
   = (2.3554 rad)*(180 deg/rad)
   = 134.95°

Answer:
The angle subtended by the sector is 135° (nearest whole number)

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Explanation:

You have the fraction for both angelfish and gladioulus in a certain aquarium, so you need to compare those fractions to conclude which fraction is greater.

To compare fractions you can divide one by the other. Whether the quotient (the result of the division) is greater than, equal than, or less than one will tell which fraction is greater than the other.

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Now, lets compare the fish's fractions:

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Then, you conclude that 4/7 is greater than 5/9, and thus the fraction of angelfish is greater than the fraction of gladioulus: there are more angelfish in the aquarium.

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