Multiple choice general knowledge science & technology

What is the arc length of a segment having included angle theta in radians and radius “R”?

  1. 2 pi R Theta

  2. R x R x Theta

  3. R x theta/ (2 pi)

  4. R x theta

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The formula for arc length when angle is in radians is s = R × theta, where theta is the angle in radians. This is because the definition of radian measure comes from arc length divided by radius. Option A would give circumference multiplied by angle, while option B incorrectly squares the radius.