An arc on a circle measures 125°. the measure of the central angle, in radians, is within which range?

Option B

ANSWER:  

The measure of the central angle lies in the range of   to

SOLUTION:

Given, an arc on a circle measures

As the angle is less than ,we can consider the arc as minor arc.

So the angle at the center is still .But it is in degrees.

Now, we need to convert it into radians.

To convert one degree into radians, we know the formula

Angle in radians  = angle in degrees

Angle in radians =

As we can observe, lies in the range of to radians

Hence the measure of the central angle lies in the range of   to

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.