Question

Angle 395° in circular system is​

Answer 1

Answer:

560 angle right now is the answer

Answer 2

There is another system of angular measurement called the Circular System. It is most useful for the study of higher mathematics. Especially in calculus, angles are measured in radians.

Radian:

A radian is the measure of the angle subtended at the center of the circle by an arc, whose length is equal to the radius of the circle.

circular-system-01

Consider a circle of radius rr. Construct an angle ∠AOB∠AOB at the center of a circle whose rays cut off an arc on a circle whose length is equal to the radius rr.

Thus m∠AOB=1m∠AOB=1 radian.

Relationship between the length of an arc of a circle and the circular measure of its central angle:

Prove that θ=lrθ=lr

Where rr is the radius of the circle, ll is the length of the arc and θθ is the circular measure of the central angle.

Proof:

Let there be a circle with center OO and radius rr. Suppose that the length of the arc and the central angle are m∠AOB=θm∠AOB=θ radian. Take an arc of length of =r=r.

By definition, m∠AOC=1m∠AOC=1 radian.

We know from elementary geometry that measures of central angles of the arcs of a circle are proportional to the lengths of their arcs.

circular-system-02

Thus the central angle θθ (in radian) subtended by a circular arc of length ll is given by θ=lrθ=lr, where rr is the radius of the circle.

Remember that rr and ll are measured in terms of the same unit and the radian measure is unit-less, i.e. it is a real number.

For example, if r=3cmr=3cm and l=6cml=6cm

Then

θ=lr=63=2

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