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How do you express 45 degrees in radian in terms of pi?

Answer
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Hint: In this question, we have to find out the required from the given particulars.
We need to express the angle given in radian in terms of pi. For that we first need to know the relation between degree and radian and apply that formula by putting the given angle in degree. After solving the result we can find out the required solution.

Formula used:
1 Degree =π180 radian

Complete step by step answer:
The given angle is 45 degree.
We need to express it in radian in terms of pi.
We know, 1 Degree =π180radian
Now applying the formula and by unitary method we can write the angle in radian terms of pi.
 Hence, 45 degree =π180×45 Radian
Solving that we get, 45 degree =π4 Radian

Hence, expressing 45degrees in radian in terms of pi, we get, 45 degree =π4 Radian.

Note: A degree usually denoted by (the degree symbol) is a measurement of a plane angle in which one full rotation is 360 degrees.
It is not an SI unit —the SI unit of angular measure is the radian —but it is mentioned in the SI brochure as an accepted unit because a full rotation equals 2πradians, one degree is equivalent to π180 radians.
Relation between degree, radian and grade is
Degree90=Grade100=2Radianπ
In most mathematical work beyond practical geometry, angles are typically measured in radians rather than degrees. This is for a variety of reasons; for example, the trigonometric functions have simpler and more "natural" properties when their arguments are expressed in radians. These considerations outweigh the convenient divisibility of the number 360.
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