Arc cd is 1/4 of the circumference of a circle


Asked by wiki @ in Mathematics viewed by 39 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:

\frac{\pi}{2} 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 =\frac{1}{4} \times 2 \pi =\frac{\pi}{2} radians

Therefore, the radian measure of the central angle of arc CD is \frac{\pi}{2} radians


Do you know the better answer?

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