Solveeit Logo

Question

Mathematics Question on Trigonometric Functions

Convert 402040^{\circ}20' into radian measure.

A

111π/540111\,\pi / 540

B

121π/540121\,\pi / 540

C

131π/540131\,\pi / 540

D

128π/541128\,\pi / 541

Answer

121π/540121\,\pi / 540

Explanation

Solution

We know that 180=π180^{\circ}=\pi radian Hence 4020=401340^{\circ}20'=40 \frac{1}{3} degree =121π540=\frac{121 \pi}{540} radian Therefore 4020=121π54040^{\circ}20'=\frac{121\pi}{540} radian.