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

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two