Question

express 40% of sum of angles of a triangle into radian.

Answer 1

Sum of angles of a triangle = 360°

40% = 40 / 100 = 0.4

40% of sum of angles of a triangle = 0.4 ∙ 360° = 144°

To convert a degree measurement to a radian us formula:

𝜋 rad = 180°

1° = 𝜋 rad / 180

144° = 144 ∙ 𝜋 / 180 = 36 ∙ 4 ∙ 𝜋 / 36 ∙ 5 = 4 𝜋 / 5 rad

Answer 2

What was I thinking while solving this? Sorry, I was getting off the night shift so I was in a hurry. I was not concentrated.

Sum of angles of a triangle = 180°

40% = 40 / 100 = 0.4

40% of sum of angles of a triangle = 0.4 ∙ 180° = 72°

To convert a degree measurement to a radian us formula:

π rad = 180°

1° = π rad / 18
40% of sum of angles of a triangle = 72° = 72 ∙ π / 180 =
36 ∙ 2 ∙ π / 36 ∙ 5 = 2 π / 5 rad

Answer 3

1° = π rad / 180