If it is an arc of 7pi/3, and the circumference is 6*pi or 6pi, then the arc takes up 7/18 of the circle, and since a circle has 360 degrees, the answr is 7/18 * 360 or 140.
We know that,
r = radius,
θ = central angle in radian.
diameter = 6 m, so radius = 3 m.
Putting the values,
Answer : The measurement of a central angle is,
Step-by-step explanation :
Formula used for angle subtended by an arc is:
s = arc length =
r = radius =
Now put all the given values in the above formula, we get:
Thus, the measurement of a central angle is,
the answer is (D)
The measurement of a central angle (in degrees) subtended by an arc is .
Using the formula
Therefore, the measurement of a central angle (in degrees) subtended by an arc is .
The measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°
Here, the diameter of the circle = 6 m
Diameter = 2 x RADIUS
So, radius = D / 2 = 6 / 2 = 3 m
Also, the length of the arc = ( ) meters
Putting π = 3.14, we get
The length S of the arc =
or, S = 7.85 m
Let us assume the arc subtends angle Ф at the center of the circle.
⇒ S = r Ф
or, Ф =
⇒Ф = 2.61 radians
Now, 1 Radian = 57.2958 Degrees
⇒ 2. 62 Radian = 2.61 x ( 57.2958 Degrees) = 149.542 °
or, Ф = 149.542°
Hence, the measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°
circle circumference = 2 * PI * radius = 2 *PI * 3
arc length = (7.85381634 / 18.8495559215) * 360 =
0.4166578975 *360 =
thus plugging in the values we get:
dividing through by 6π we get:
multiplying both sides by 360
Circumference=pi x d=pi x 6m= 6pi
Circumference/arc length=6pi/(5/2pie)=360degree/central angle
6pie x central angle=360degree x 5/2pie
Central angle=360degree x 5/2pie/6pie
Central angle=360degree x 5/12