A student uses the formula with and

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

A student uses the formula

s = r\theta

with

r = 0.25\,\text{m}

and

\theta = 45^{\circ}

, directly substituting

\theta = 45

to obtain

s = 11.25\,\text{m}

. Which option identifies the student’s main conceptual error and states the correct value of

s

? (a) Error: Treated

45^{\circ}

45\pi

radians ; Correct

s \approx 35.3\,\text{m}

(b) Error: Used

s = \theta/r

instead of

s = r\theta

; Correct

s \approx 3.14\,\text{m}

s \approx 0.196\,\text{m}

(d) Error: Divided the angle by

180

instead of multiplying by

\pi/180

; Correct

s \approx 0.0625\,\text{m}