Answer: 11π/14 is equal to 5.04 degrees.
Explanation:
To convert 11π/14 to degrees, we need to use the fact that π radians is equal to 180 degrees.
First, let's find the equivalent value of 1π/14 radians in degrees. We can use the following proportion:
1π/14 radians = x degrees / 180 degrees
To find x, we can cross-multiply and solve for x:
x = (1π/14) * 180 degrees
Simplifying further:
x = (180/14)π degrees
Now, we can find the value of 11π/14 in degrees by multiplying x by 11:
11π/14 radians = (11/14) * (180/14)π degrees
Simplifying further:
11π/14 radians = 990/196π degrees
To express this in decimal form, we can divide 990 by 196:
11π/14 radians ≈ 5.04 degrees
Therefore, 11π/14 is approximately equal to 5.04 degrees.