Ask Question
3 January, 08:52

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 subtended by the sector?

+4
Answers (1)
  1. 3 January, 09:21
    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)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 subtended by ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers