Question

(a) Express 40% of a right angle into radian measure ​

Answer 1

To express 40% of a right angle in radian measure, we first need to find the radian measure of a right angle, which is 90 degrees.

1. Convert 40% of a right angle to degrees:

40% of 90 degrees = 0.40 * 90 = 36 degrees

2. Convert degrees to radians using the conversion factor: π radians = 180 degrees

Radian measure = (36 degrees) * (π radians / 180 degrees)

Radian measure ≈ 0.628 radians

So, 40% of a right angle is approximately 0.628 radians.