Express 40% of a right angle into radian measure
A right angle is equal to 90 degrees, so 40% of a right angle is:
40% of 90 degrees = 0.4 x 90 = 36 degrees
To convert degrees to radians, we use the formula:
radians = degrees x π/180
where π (pi) is approximately equal to 3.14.
Plugging in the value of 36 degrees, we get:
radians = 36 x π/180
radians = 0.6283 radians (rounded to four decimal places)
Therefore, 40% of a right angle is approximately equal to 0.6283 radians.
To express a percentage of a right angle, we need to first convert the percentage into a decimal and then multiply it by the measure of a right angle, which is 90 degrees or π/2 radians.
To convert 40% into a decimal, divide it by 100:
40% = 40/100 = 0.4
Now, multiply the decimal by the measure of a right angle:
0.4 * (π/2) = π/5 radians
Therefore, 40% of a right angle is equal to π/5 radians.