Question

An arc 13. 0 cm in length on the circumference of a circle subtends an angle of 113°. What is the radius of the circle?

Answers

  1. If the length of the arc is 13 cm and the angle subtends be 113° then the length of radius is equal to 6.59 cm.
    Given that the length of the arc is 13 cm and the angle subtends be 113°.
    We are required to find the length of radius of the circle in which the length of the arc be 13 cm and the angle subtends be 113°.
    Radius is basically a line which joins a point on the circle to the center point of the circle.
    Arc is basically a part of circumference of the circle.
    The relationship between length of arc ,angle and length of radius is as under:
    s=rΘ , in which s is the length of arc, r is the length of radius and Θ is the angle.
    So,we have to first convert 113 degrees into radians.
    113 degrees=113*π/180 radians
    Using all the values in the relationship:
    13=(r*113*π)/180
    r=(13*180)/(113*3.14)
    r=2340/354.82
    r=6.59 cm
    Hence if the length of the arc is 13 cm and the angle subtends be 113° then the length of radius is equal to 6.59 cm.
    Learn more about radius at https://brainly.com/question/12908707
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