Arc cd is 1/4 of the circumference of a circle
Asked by wiki @ in Mathematics viewed by 127 People
Arc CD is 1/4 of the circumference of a circle. What is the radian measure of the central angle?
Asked by wiki @ in Mathematics viewed by 127 People
Arc CD is 1/4 of the circumference of a circle. What is the radian measure of the central angle?
Answered by wiki @
Answer:
radians
Step-by-step explanation:
We can use the concept of proportion to answer this question.
The arc CD is given to be 1/4 in measure of the circumference of the circle. A complete circle is 360 degrees in measure which in radian measure is 2π
So, the arc which 1/4 in measure of the circumference will make an angle which is 1/4 of the angle of the entire circle.
i.e.
Angle formed by the arc = radians
Therefore, the radian measure of the central angle of arc CD is radians
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