Question

An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range?

Answer 1

Given:

(i) The arc measures 85°.

To find:

(i) The measure of the central angle, in radians, is within which range

Solution:

Given, the measure of the arc is 85°.

This is the central angle and now we have to convert it into radians.

Angle in radians = (П/180)*Angle in degrees

= (П/180)*85

= 0.4722П

Since, this value of angle lies between 0° and П/2 (90°), we can conclude that it lies in the first quadrant.

So, θ = 0.4722П and so,

0 < θ < П/2

Answer 2

Answer:

0 to pi/2

Got it right on 2020Edgenuity