Convert from Degrees to Radians 87

Problem

87^∘

Solution

1. Identify the conversion factor between degrees and radians, which is (π* radians)/180^∘

2. Multiply the given angle in degrees by the conversion factor.

87^∘⋅π/180^∘

3. Simplify the fraction by finding the greatest common divisor of 87 and 180

gcd(87,180)=3

4. Divide both the numerator and the denominator by 3

87/3=29

180/3=60

5. Write the final expression in terms of π

(29*π)/60

Final Answer

87^∘=(29*π)/60

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