Question

If the measure of an arc in a circle is 85°, then the arc is a​

Answer 1

Answer:

(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 = (n/180)*Angle in

degrees = (n/180)*85

= 0.47220

Since, this value of angle lies between 0° and 1/2 (90°), we can conclude that it lies

in the first quadrant.

So, 0 = 0.47221 and so,

0 <0 <11/2