MATHEMATICS IS LIKE TRUE LOVE- A SIMPLE IDEA BUT CAN GET COMPLICATED...
Ricky Gakhar
You may be an engineer if your idea of good interpersonal communication means getting the decimal point in the right place.
UnknownAnswer
Hint:At first convert the given angle in degree to radian by multiplying it with $\dfrac{\pi }{180}$. Then use the formula $s=r\theta $, where s is length of arc, r is radius and $\theta $ is angle in radian.
Complete step-by-step answer:
In the question we are given measures of radius and central angle which are 5 cm and ${{15}^{\circ }}$ and from this we have to find the length of the arc. Before proceeding we will first briefly say something about radian. The radian is an S.I. unit for measuring angles and is the standard unit of angular measure used in areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57.3 degrees. Radian describes the plain angle subtended by a circular arc as the length of arc divided by radius of the arc. One radian is the angle subtended at the center of a circle by an arc that is equal in length to the magnitude in radians of such a subtend angle is equal to the ratio of the arc length to the radius of circle; that is $\theta \ =\ \dfrac{s}{r}$, where $\theta $ is the subtended angle in radians, s is arc length and r is radius .