Maths-
General
Easy
Question
An arc of a circle measures 2.4 radians. To the nearest degree, what is the measure, in degrees, of this arc? (Disregard the degree sign when gridding your answer.)
Hint:
Hint:
We are given the measure of an arc of a circle in radians and we need to find the measure of this arc in degrees. To solve this problem, we need to know the relation between radians and degrees in a circle. It is given by
We use the above relation to find the measure of the arc in degrees.
The correct answer is: 138
Given,
Measure of an arc in a circle = 2.4 radians
To find : measure of the arc in degrees
We know the relation between radians and degrees is given by
Using unitary method, we have
So, by multiplying on both sides of the above relation, we have
Using the calculator, we find
Which gives us
We can round off the above value to the whole number
Thus, a correct answer is 138.
Note:
Another answer for this problem could be taken as 137 as well.
Unitary method is finding out the value of one unit from the relation given and then multiplies the value of the single unit with the number of required units.
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