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?
1 answer:
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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